MINDSETS CHALLENGES BY TEKS - CURRICULUM MAP
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MINDSETS CHALLENGES BY
TEKS
CURRICULUM MAP
Current as of February 21, 2022
www.mindsets.com
STEAM platform for the classroom hello@mindsets.com
Real-world learning - World ready students
© Mindsets Learning
© Mindsets Learning 2022 1Curriculum Map - Math
Grade 5
Standards Mindsets Challenges
Algebraic Reasoning
5(4)(B) • Baseball Bonanza
5(4)(G) • Save a Sea Otter
Number & Operations
5(2)(B) • Ice Caps
5(2)(C) • Aquarium Vet
5(3)(H) • Catchy Clothing
5(3)(I) • Stop Food Waste
5(3)(K) • Amazon’s Amazing Rainforests
5(3)(L) • Sienna Sauce
Grade 6
Standards Mindsets Challenges
Expressions, Equations & Relationships
• Bracelet Business
6(6)(C)
• Theme Park App
6(7)(A) • Bracelet Business
6(7)(C) • Bracelet Business
6(7)(D) • Bracelet Business
• Baseball Bonanza
6(8)(C)
• NASA's Hidden Figures
• Baseball Bonanza
6(8)(D)
• NASA's Hidden Figures
6(9)(A) • Save the Elephants
6(9)(B) • Save the Elephants
6(9)(C) • Save the Elephants
Measurement & Data
6(11) • Hike Mount Everest
Number & Operations
6(2)(B) • Hike Mount Everest
6(2)(C) • Hike Mount Everest
6(2)(D) • Hike Mount Everest
• Piles & Holes 1: Digging
• Piles & Holes 2: It's Raining Opposites
6(3)(C)
• Piles & Holes 3: Collecting & Sorting
• Piles & Holes 4: Evaluating
© Mindsets Learning 2022 2• Design Your Own Ice Cream Sundae Store
6(3)(E)
• Delicious Dishes
Proportionality
• Concert T-shirts
6(4)(B)
• Doggy Day Care
6(4)(D) • Party Planner
6(4)(E) • Doggy Day Care
• Bracelet Business
6(5)(A) • Doggy Day Care
• Theme Park App
Grade 7
Standards Mindsets Challenges
Expressions, Equations & Relationships
7(9)(A) • Solar Energy for Power
7(9)(B) • Solar Energy for Power
7(9)(C) • Solar Energy for Power
• Solar Energy for Power
7(9)(D)
• Packaging Sporting Goods
7(11)(A) • Best Cell Plan
Measurement & Data
7(12)(B) • Teen Gym
Number & Operations
7(3)(A) • Party Planner
• Party Planner
7(3)(B)
• Making Face Shields
Personal Financial Literacy
7(13)(A) • Diligent Deductions
7(13)(B) • Diligent Deductions
7(13)(D) • Diligent Deductions
Proportionality
• Pizza Delight
7(4)(A)
• Price for Kicks
• Pizza Delight
7(4)(B)
• Price for Kicks
• Pizza Delight
7(4)(C)
• Price for Kicks
• Price for Kicks
7(4)(D) • Become a Real Estate Expert
• The Amazing Race Adventure
7(6)(C) • Sports Stats Prediction
7(6)(E) • Sports Stats Prediction
© Mindsets Learning 2022 37(6)(F) • Teen Gym
7(6)(I) • Sports Stats Prediction
Grade 8
Standards Mindsets Challenges
Expressions, Equations & Relationships
8(7)(A) • Space Mission
8(7)(C) • Design a Baseball Field
Measurement & Data
• Where to Work: Tech Career
8(11)(A)
• Where to Work: Road to College
Number & Operations
• Perfect Platforms 2
8(2)(B)
• Perfect Platforms 1
8(2)(C) • Famous Company Shares
8(2)(D) • Perfect Platforms 1
Proportionality
8(4)(B) • Sales Ramp
8(4)(C) • Sales Ramp
8(5)(A) • Sales Ramp
• Where to Work: Tech Career
8(5)(D)
• Where to Work: Road to College
8(5)(G) • Sunset Sales
Two-dimensional shapes
8(10)(A) • Eye-Catching Advertising
• Design a Logo: Gourmet
8(10)(B)
• Design a Logo: Social Media
High School
Standards Mindsets Challenges
Algebra I
• You've Been Cheated!
A(5)(C)
• You've Been Cheated... Again!
• Electric Cars 1
A(12)(C)
• Electric Cars 2
• Electric Cars 1
A(12)(D)
• Electric Cars 2
© Mindsets Learning 2022 4Curriculum Map - Science
Grade 5
Standards Mindsets Challenges
Matter & Energy
5(5)(A) • Too Hot to Handle!
Grade 6
Standards Mindsets Challenges
Matter & Energy
6(5)(C) • Bouncy Balls
Grade 7
Standards Mindsets Challenges
Matter & Energy
7(6) • The Case for Casein
Grade 8
Standards Mindsets Challenges
Matter & Energy
8(5)(E) • The Case for Casein
Organisms & Environments
8(11) • Reduce, Reuse, Recycle: Shopping Bags
8(11)(A) • Reduce, Reuse, Recycle: Shopping Bags
8(11)(B) • Reduce, Reuse, Recycle: Shopping Bags
8(11)(C) • Reduce, Reuse, Recycle: Shopping Bags
Scientific Investigation & Reasoning
8(2)(B) • Bouncy Balls
8(2)(C) • Bouncy Balls
8(2)(D) • Bouncy Balls
8(2)(E) • Bouncy Balls
© Mindsets Learning 2022 5Mindsets Challenges - Math
Challenge name Description
Amazon’s Amazing Help environmental scientists analyze the changing patterns of rain and how it
Rainforests affects the plants and animals in the Amazon rainforest.
Work with marine biologists at the Georgia Aquarium! Use rounding to check
Aquarium Vet
the weight and height of animals, and medicines they may need.
Puerto Rico is still recovering from hurricane damage. Work with your Little
Baseball Bonanza
League baseball team to help get sports programs running again.
Become a Real Estate On the TV show, House Hunters, you sell the most amazing homes in the
Expert world. Calculate how much money you’ll make as a real estate agent!
As the pricing analyst for Verizon, you've been tasked to create mobile data
Best Cell Plan
plans for the teen market using linear equations.
Your school will be hosting an upcoming International Art Fair! Create and
Bracelet Business
design special patterned bands for sale using a basic design.
Work with a kids clothing brand to design, measure and make a new line of t-
Catchy Clothing
shirts which feature inspiring artists and trailblazers.
Spotify is hosting a school concert and needs help selecting concert T-shirts to
Concert T-shirts
sell! Which will be the most popular in your class?
Use recipes to create small servings of delicious dishes from around the world
Delicious Dishes
to serve at your school’s International Food Night.
Design Your Own Ice Ben & Jerry’s is accepting applications to open new locations and you have an
Cream Sundae Store idea for a “design-your-own” ice creams. Let's get started!
You’re an architect designing a baseball stadium in Tampa Bay, Florida. Use
Design a Baseball Field
Pythagorean Theorem to determine the dimensions of the field.
Design a Logo: It's your big chance to create a new logo for the world famous Kraft Heinz
Gourmet Company using transformations and congruent shapes.
Design a Logo: Social Facebook has asked you to create a new logo for its world-famous company.
Media Develop a logo using rigid transformations and congruent shapes.
Choose a career and see what salary you'll earn each month. We'll learn how
Diligent Deductions
your career choice affects what you decide to spend and buy!
Dog walking is big business! You are inspired by how much other people can
Doggy Day Care
earn from dog walking and decide to start your own company!
You're working for Tesla to create an ad to promote the new Model 3 car! First,
Electric Cars 1
let's analyze data and compare it to a competitor's car.
Now that you're familiar with electric cars, use your data to create a viral ad
Electric Cars 2
for Tesla's new Model 3 and analyze the results.
Eye-Catching Design and create eye-catching images using rigid transformations for a new
Advertising marketing campaign for LeBron James.
Famous Company Apple wants buy growing companies that are popular with teenagers. As the
Shares technical analyst, research and recommend companies to invest in.
National Geographic has hired you to create graphs for a story on the negative
Hike Mount Everest
effects climbing Mount Everest has on your body.
© Mindsets Learning 2022 6Study the changes in glaciers around the world and how these impact animals
Ice Caps
and the environment. Let's help create positive change!
Help support health and medical workers who are fighting the COVID‑19 virus.
Making Face Shields
Use your math skills to make face shields and help save lives!
You’ve been asked to design a memorial at the NASA headquarters to honor
NASA's Hidden Figures
Mary Jackson, the first female African American engineer at NASA.
Packaging Sporting Packaging is expensive! As the Packaging Engineer at Amazon, use surface
Goods area calculations to lower costs by packaging goods effectively.
You’re a party planner hired by a local high school to plan their graduation
Party Planner
party. Keep track of money spent and stay within budget!
The 2028 Summer Olympics in Los Angeles will be here soon! You’ve been
Perfect Platforms 1
hired to design platforms for judo, weightlifting, and gymnastics.
You’ve done such an excellent job designing platforms, that the Olympic
Perfect Platforms 2
Committee has asked you to inspect new platforms. Let's get to work!
Piles & Holes 1: What happens when you combine sand piles with other sand piles. Piles with
Digging holes? Holes with holes? In this challenge we'll find out!
Piles & Holes 2: It's You discovered how to add piles in the first piles and holes Challenge. Now,
Raining Opposites let’s see what else we can learn about piles and holes!
Piles & Holes 3: What happens when you group collections of piles and holes together? Find
Collecting & Sorting out how to use parentheses to communicate with piles and holes!
Piles & Holes 4: Now that you've learned all about piles and holes, let's practice evaluating
Evaluating groups of piles and holes in different ways!
Are you happy with your school lunches? Whole Foods is partnering with your
Pizza Delight
school to test a new pizza dish, and they'd like your help.
Help Nike to relaunch one of its best selling sneakers! You'll pick a retro
Price for Kicks
sneaker, then work out costs and a range of sales and profits.
A competitor is about to overtake Nike's sales! You've got one chance to pick
Sales Ramp
an advertising method that will grow weekly sales the fastest.
Baby sea otters are rescued everyday! Help marine centers design pools to
Save a Sea Otter
help save and care for these sea otters.
You’re partnering with Save the Elephants to raise the profile of African
Save the Elephants
Elephants. Encourage people to donate money to this cause!
Learn how a teenager created her own barbeque sauce business and calculate
Sienna Sauce
the ingredient amounts required for larger barbeque sauce orders.
The University of California aims to be carbon neutral by 2025. Estimate how
Solar Energy for Power
many solar panels you'll need to power one of their buildings.
As an aeronautical engineer, use your understanding of volume and ratio to
Space Mission
design a capsule that can bring expandable modules into space!
As a sports statistician, your job is to record data, determine probabilities and
Sports Stats Prediction
make predictions on games and players using statistics.
Each year, more than $1 trillion in food is wasted around the world. Explore
Stop Food Waste
how you can save food at home, at school and in the community.
You're the head of marketing for McDonald’s and will use functions to track the
Sunset Sales
sales of new Sunset menu items in your San Diego restaurant.
© Mindsets Learning 2022 7After the success of its community programs, Nike would like your help in their
Teen Gym
next project to create teen gyms at school. Let's get fit!
The Amazing Race You’re a producer for the teen version of The Amazing Race. Book flights and
Adventure convert money for the contestants' traveling to 3 cities!
Six Flags needs your help creating a cost calculator app, which supports
Theme Park App
visitors planning and enjoying their theme park visit.
Where to Work: Road College is expensive, so you start working and saving early. You've been
to College offered jobs by Subway and McDonald’s. Which one will you choose?
Where to Work: Tech You've been offered two jobs - one by Google and one by Amazon. Which will
Career you pick? Use salary and company data to make a decision!
You’re a forensic accountant! Analyze clues from receipts and financial records
You've Been Cheated!
to determine if companies are being stolen from.
You've Been Cheated... You’ve perfected your forensic accounting skills! Use financial records to
Again! investigate whether hackers are stealing from online purchases.
© Mindsets Learning 2022 8Mindsets Challenges - Science
Challenge name Description
Use your knowledge of polymers, conservation of mass, and conduct
Bouncy Balls
experiments to create the bounciest ball for the New York Toy Fair!
Reduce, Reuse, Whole Foods is looking for new ideas to reduce plastic bag use in the
Recycle: Shopping Bags community. You’ll help design a new environmentally friendly bag!
Recycle unused milk using the milk's casein to create useful, biodegradable
The Case for Casein
plastic products that McDonald's and the community can use.
Pizzas lose heat during delivery, and no one wants to eat cold, soggy pizza!
Too Hot to Handle!
Design a container to keep your lunch-time pizza piping hot!
© Mindsets Learning 2022 9Math Depth of Knowledge (DOK)
Grade 5 Mindsets Challenge
1 - Recall and Reproduction • Save a Sea Otter
2 - Procedural fluency. Students will use volume concepts (unit
cubes of fractional length) to find the capacity of various sized • Baseball Bonanza
boxes.
2 - Procedural fluency. • Catchy Clothing
2 - Application and contextual interpretation of inequalities. • Ice Caps
2 - Interpretation of line plots. • Amazon’s Amazing Rainforests
2 - Application of visual model. • Sienna Sauce
3 - Strategic reasoning. • Aquarium Vet
3 - Strategic reasoning about concrete integer representations. • Stop Food Waste
Grade 6 Mindsets Challenge
2 - Routine problem-solving with writing expressions. • Theme Park App
2 - Procedural fluency with fractions and multiplication to solve a
• NASA's Hidden Figures
real-world problem.
• Design Your Own Ice Cream
2 - Procedural fluency with division of fractions by fractions.
Sundae Store
2 - Procedural fluency with inequalities. • Save the Elephants
2 - Procedural fluency with arithmetic operations. • Party Planner
2 - Procedural fluency. • Delicious Dishes
• Piles & Holes 2: It's Raining
Opposites
• Piles & Holes 1: Digging
3 - Strategic reasoning about concrete integer representations.
• Piles & Holes 3: Collecting &
Sorting
• Piles & Holes 4: Evaluating
3 - Strategic reasoning about graphing. • Hike Mount Everest
3 - Strategic reasoning about expressions. • Bracelet Business
3 - Strategic thinking about unit rates and ratios. • Doggy Day Care
3 - Strategic reasoning about percentages. • Concert T-shirts
Grade 7 Mindsets Challenge
2 - Procedural fluency with writing and solving linear equations. • Best Cell Plan
2 - Procedural fluency with fractions and multiplication to solve a
• Making Face Shields
real-world problem.
2 - Application of math skills and concepts in relation to probability
• Sports Stats Prediction
and predictions.
3 - Strategic reasoning using proportional relationships. • Pizza Delight
3 - Strategic reasoning about percent changes and inequalities. • Price for Kicks
3 - Strategic reasoning using proportions. • Become a Real Estate Expert
© Mindsets Learning 2022 103 - Strategic reasoning about area, volume, and unit rates. • Solar Energy for Power
3 - Strategic reasoning using equations and rates. • The Amazing Race Adventure
3 - Strategic reasoning about volume and surface area. • Packaging Sporting Goods
3 - Strategic reasoning using simple financial plans and
• Diligent Deductions
percentages.
3 - Strategic reasoning about random and representative samples. • Teen Gym
Grade 8 Mindsets Challenge
2 - Procedural fluency with calculating unit rates and applying
• Sales Ramp
proportional reasoning.
• Design a Logo: Social Media
2 - Application of skills and concepts of rigid transformations.
• Design a Logo: Gourmet
2 - Procedural fluency in working with positive and negative
• Famous Company Shares
exponents.
2 - Procedural fluency with square roots of small numbers. • Perfect Platforms 1
3 - Strategic reasoning using unit rates and the graphs of • Where to Work: Road to College
proportional relationships. • Where to Work: Tech Career
3 - Strategic reasoning about the Pythagorean Theorem. • Design a Baseball Field
3 - Strategic reasoning about volume. • Space Mission
3 - Strategic reasoning about transformations. • Eye-Catching Advertising
3 - Strategic reasoning about functions. • Sunset Sales
3 - Strategic thinking about irrational numbers and approximating
• Perfect Platforms 2
them.
High School Mindsets Challenge
2 - Application of skills and concepts of arithmetic and geometric
• Electric Cars 1
sequences.
2 - Procedural fluency with solving systems of equations. • You've Been Cheated... Again!
2 - Procedural fluency in solving systems of 2 linear equations. • You've Been Cheated!
3 - Strategic reasoning about arithmetic and geometric sequences. • Electric Cars 2
© Mindsets Learning 2022 11Science Depth of Knowledge (DOK)
Grade 5 Mindsets Challenge
3 - Strategic thinking through application of the principles of
• Too Hot to Handle!
heat transfer.
Grade 6 Mindsets Challenge
2 - Procedural fluency in distinguishing between chemical and
• Bouncy Balls
physical changes.
Grade 7 Mindsets Challenge
2 - Procedural fluency with distinguishing between a physical
• The Case for Casein
and chemical change.
Grade 8 Mindsets Challenge
3 - Students apply strategic thinking to designing, building, and • Reduce, Reuse, Recycle: Shopping
testing shopping bag and then reflecting on improvements. Bags
© Mindsets Learning 2022 12Math Appendix
Grade 4
Standard Description
Algebraic Reasoning
Represent multi-step problems involving the four operations with whole numbers using
4(5)(A)
strip diagrams and equations with a letter standing for the unknown quantity.
Represent problems using an input-output table and numerical expressions to generate a
4(5)(B) number pattern that follows a given rule representing the relationship of the values in the
resulting sequence and their position in the sequence.
Use models to determine the formulas for the perimeter of a rectangle (l + w + l + w or 2l
4(5)(C) + 2w), including the special form for perimeter of a square (4s) and the area of a rectangle
(l x w)
Solve problems related to perimeter and area of rectangles where dimensions are whole
4(5)(D)
numbers.
Data Analysis
Represent data on a frequency table, dot plot, or stem-and-leaf plot marked with whole
4(9)(A)
numbers and fractions.
Solve one- and two-step problems using data in whole number, decimal, and fraction form
4(9)(B)
in a frequency table, dot plot, or stem-and-leaf plot.
Geometry & Measurement
4(6)(A) Identify points, lines, line segments, rays, angles, and perpendicular and parallel lines.
Identify and draw one or more lines of symmetry, if they exist, for a two-dimensional
4(6)(B)
figure.
4(6)(C) Apply knowledge of right angles to identify acute, right, and obtuse triangles.
Classify two-dimensional figures based on the presence or absence of parallel or
4(6)(D)
perpendicular lines or the presence or absence of angles of a specified size.
Illustrate the measure of an angle as the part of a circle whose center is at the vertex of
4(7)(A) the angle that is "cut out" by the rays of the angle. Angle measures are limited to whole
numbers.
Illustrate degrees as the units used to measure an angle, where 1/360 of any circle is one
4(7)(B) degree and an angle that "cuts" n /360 out of any circle whose center is at the angle's
vertex has a measure of n degrees. Angle measures are limited to whole numbers.
Determine the approximate measures of angles in degrees to the nearest whole number
4(7)(C)
using a protractor.
4(7)(D) Draw an angle with a given measure.
Determine the measure of an unknown angle formed by two non-overlapping adjacent
4(7)(E)
angles given one or both angle measures.
4(8)(A) Identify relative sizes of measurement units within the customary and metric systems.
Convert measurements within the same measurement system, customary or metric, from
4(8)(B) a smaller unit into a larger unit or a larger unit into a smaller unit when given other
equivalent measures represented in a table.
© Mindsets Learning 2022 13Solve problems that deal with measurements of length, intervals of time, liquid volumes,
4(8)(C)
mass, and money using addition, subtraction, multiplication, or division as appropriate.
Number & Operations
Interpret the value of each place-value position as 10 times the position to the right and as
4(2)(A)
one-tenth of the value of the place to its left.
Represent the value of the digit in whole numbers through 1,000,000,000 and decimals to
4(2)(B)
the hundredths using expanded notation and numerals.
Compare and order whole numbers to 1,000,000,000 and represent comparisons using the
4(2)(C)
symbols >,
4(2)(D) Round whole numbers to a given place value through the hundred thousands place
Represent decimals, including tenths and hundredths, using concrete and visual models
4(2)(E)
and money.
4(2)(F) Compare and order decimals using concrete and visual models to the hundredths.
4(2)(G) Relate decimals to fractions that name tenths and hundredths.
Determine the corresponding decimal to the tenths or hundredths place of a specified point
4(2)(H)
on a number line.
Represent a fraction a/b as a sum of fractions 1/b, where a and b are whole numbers and b
4(3)(A)
> 0, including when a > b.
Decompose a fraction in more than one way into a sum of fractions with the same
4(3)(B) denominator using concrete and pictorial models and recording results with symbolic
representations.
4(3)(C) Determine if two given fractions are equivalent using a variety of methods.
Compare two fractions with different numerators and different denominators and represent
4(3)(D)
the comparison using the symbols >, =, or
Represent and solve addition and subtraction of fractions with equal denominators using
4(3)(E)
objects and pictorial models that build to the number line and properties of operations.
Evaluate the reasonableness of sums and differences of fractions using benchmark
4(3)(F)
fractions 0, 1/4, 1/2, 3/4, and 1, referring to the same whole.
Represent fractions and decimals to the tenths or hundredths as distances from zero on a
4(3)(G)
number line.
Add and subtract whole numbers and decimals to the hundredths place using the standard
4(4)(A)
algorithm.
Determine products of a number and 10 or 100 using properties of operations and place
4(4)(B)
value understandings.
Represent the product of 2 two-digit numbers using arrays, area models, or equations,
4(4)(C)
including perfect squares through 15 by 15.
Use strategies and algorithms, including the standard algorithm, to multiply up to a four-
digit number by a one-digit number and to multiply a two-digit number by a two-digit
4(4)(D)
number. Strategies may include mental math, partial products, and the commutative,
associative, and distributive properties.
Represent the quotient of up to a four-digit whole number divided by a one-digit whole
4(4)(E)
number using arrays, area models, or equations.
Use strategies and algorithms, including the standard algorithm, to divide up to a four-digit
4(4)(F)
dividend by a one-digit divisor.
© Mindsets Learning 2022 14Round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions
4(4)(G)
involving whole numbers.
Solve with fluency one- and two-step problems involving multiplication and division,
4(4)(H)
including interpreting remainders.
Personal Financial Literacy
4(10)(A) Distinguish between fixed and variable expenses.
4(10)(B) Calculate profit in a given situation.
4(10)(C) Compare the advantages and disadvantages of various savings options.
Describe how to allocate a weekly allowance among spending; saving, including for
4(10)(D)
college; and sharing.
Describe the basic purpose of financial institutions, including keeping money safe,
4(10)(E)
borrowing money, and lending.
Grade 5
Standard Description
Algebraic Reasoning
5(4)(A) Identify prime and composite numbers.
Represent and solve multi-step problems involving the four operations with whole numbers
5(4)(B)
using equations with a letter standing for the unknown quantity.
5(4)(C) Generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph.
Recognize the difference between additive and multiplicative numerical patterns given in a
5(4)(D)
table or graph.
5(4)(E) Describe the meaning of parentheses and brackets in a numeric expression.
Simplify numerical expressions that do not involve exponents, including up to two levels of
5(4)(F)
grouping.
Use concrete objects and pictorial models to develop the formulas for the volume of a
5(4)(G) rectangular prism, including the special form for a cube (V = l x w x h, V = s x s x s, and V
= Bh).
5(4)(H) Represent and solve problems related to perimeter and/or area and related to volume.
Geometry & Measurement
Geometry and measurement. The student applies mathematical process standards to
classify two-dimensional figures by attributes and properties. The student is expected to
5(5)
classify two-dimensional figures in a hierarchy of sets and subsets using graphic organizers
based on their attributes and properties.
Recognize a cube with side length of one unit as a unit cube having one cubic unit of
5(6)(A) volume and the volume of a three-dimensional figure as the number of unit cubes (n cubic
units) needed to fill it with no gaps or overlaps if possible.
Determine the volume of a rectangular prism with whole number side lengths in problems
5(6)(B)
related to the number of layers times the number of unit cubes in the area of the base.
Geometry and measurement. The student applies mathematical process standards to
select appropriate units, strategies, and tools to solve problems involving measurement.
5(7)(7)
The student is expected to�solve problems by�calculating�conversions within a
measurement system, customary or metric.
© Mindsets Learning 2022 15Describe the key attributes of the coordinate plane, including perpendicular number lines
(axes) where the intersection (origin) of the two lines coincides with zero on each number
5(8)(A) line and the given point (0, 0); the x-coordinate, the first number in an ordered pair,
indicates movement parallel to the x-axis starting at the origin. the y-coordinate, the
second number, indicates movement parallel to the y-axis starting at the origin/
Describe the process for graphing ordered pairs of numbers in the first quadrant of the
5(8)(B)
coordinate plane.
Graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from
5(8)(C) mathematical and real-world problems, including those generated by number patterns or
found in an input-output table.
Geometry and measurement. The student applies mathematical process standards to
select appropriate units, strategies, and tools to solve problems involving measurement.
5(7)
The student is expected to solve problems by calculating conversions within a
measurement system, customary or metric.
Measurement & Data
Represent categorical data with bar graphs or frequency tables and numerical data,
5(9)(A) including data sets of measurements in fractions or decimals, with dot plots or stem-and-
leaf plots.
5(9)(B) Represent discrete paired data on a scatterplot.
Solve one- and two-step problems using data from a frequency table, dot plot, bar graph,
5(9)(C)
stem-and-leaf plot, or scatterplot.
Number & Operations
Represent the value of the digit in decimals through the thousandths using expanded
5(2)(A)
notation and numerals;
Compare and order two decimals to thousandths and represent comparisons using the
5(2)(B)
symbols >,
5(2)(C) Round decimals to tenths or hundredths.
Estimate to determine solutions to mathematical and real-world problems involving
5(3)(A)
addition, subtraction, multiplication, or division;
Multiply with fluency a three-digit number by a two-digit number using the standard
5(3)(B)
algorithm;
Solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor
5(3)(C)
using strategies and the standard algorithm;
Represent multiplication of decimals with products to the hundredths using objects and
5(3)(D)
pictorial models, including area models;
Solve for products of decimals to the hundredths, including situations involving money,
5(3)(E) using strategies based on place-value understandings, properties of operations, and the
relationship to the multiplication of whole numbers;
Represent quotients of decimals to the hundredths, up to four-digit dividends and two-digit
5(3)(F)
whole number divisors, using objects and pictorial models, including area models;
Solve for quotients of decimals to the hundredths, up to four-digit dividends and two-digit
5(3)(G)
whole number divisors, using strategies and algorithms, including the standard algorithm;
Represent and solve addition and subtraction of fractions with unequal denominators
5(3)(H) referring to the same whole using objects and pictorial models and properties of
operations;
© Mindsets Learning 2022 16Represent and solve multiplication of a whole number and a fraction that refers to the
5(3)(I)
same whole using objects and pictorial models, including area models;
Represent division of a unit fraction by a whole number and the division of a whole number
5(3)(J) by a unit fraction such as 1/3 ÷ 7 and 7 ÷ 1/3 using objects and pictorial models, including
area models;
5(3)(K) Add and subtract positive rational numbers fluently.
5(3)(L) Divide whole numbers by unit fractions and unit fractions by whole numbers.
Personal Financial Literacy
5(10)(A) Define income tax, payroll tax, sales tax, and property tax.
5(10)(B) Explain the difference between gross income and net income.
Identify the advantages and disadvantages of different methods of payment, including
5(10)(C)
check, credit card, debit card, and electronic payments.
5(10)(D) Develop a system for keeping and using financial records.
5(10)(E) Describe actions that might be taken to balance a budget when expenses exceed income.
5(10)(F) Balance a simple budget.
Grade 6
Standard Description
Expressions, Equations & Relationships
6(6)(A) Identify independent and dependent quantities from tables and graphs.
Write an equation that represents the relationship between independent and dependent
6(6)(B)
quantities from a table.
Represent a given situation using verbal descriptions, tables, graphs, and equations in the
6(6)(C)
form y = kx or y = x + b.
Generate equivalent numerical expressions using order of operations, including whole
6(7)(A)
number exponents and prime factorization.
6(7)(B) Distinguish between expressions and equations verbally, numerically, and algebraically.
Determine if two expressions are equivalent using concrete models, pictorial models, and
6(7)(C)
algebraic representations.
Generate equivalent expressions using the properties of operations: inverse, identity,
6(7)(D)
commutative, associative, and distributive properties.
Extend previous knowledge of triangles and their properties to include the sum of angles of
6(8)(A) a triangle, the relationship between the lengths of sides and measures of angles in a
triangle, and determining when three lengths form a triangle.
Model area formulas for parallelograms, trapezoids, and triangles by decomposing and
6(8)(B)
rearranging parts of these shapes.
Write equations that represent problems related to the area of rectangles, parallelograms,
6(8)(C) trapezoids, and triangles and volume of right rectangular prisms where dimensions are
positive rational numbers.
Determine solutions for problems involving the area of rectangles, parallelograms,
6(8)(D) trapezoids, and triangles and volume of right rectangular prisms where dimensions are
positive rational numbers.
Write one-variable, one-step equations and inequalities to represent constraints or
6(9)(A)
conditions within problems.
© Mindsets Learning 2022 176(9)(B) Represent solutions for one-variable, one-step equations and inequalities on number lines.
Write corresponding real-world problems given one-variable, one-step equations or
6(9)(C)
inequalities.
Model and solve one-variable, one-step equations and inequalities that represent problems,
6(10)(A)
including geometric concepts.
Determine if the given value(s) make(s) one-variable, one-step equations or inequalities
6(10)(B)
true.
Measurement & Data
6(11) Graph points in all four quadrants using ordered pairs of rational numbers.
Represent numeric data graphically, including dot plots, stem-and-leaf plots, histograms,
6(12)(A)
and box plots.
Use the graphical representation of numeric data to describe the center, spread, and shape
6(12)(B)
of the data distribution.
Summarize numeric data with numerical summaries, including the mean and median
6(12)(C)
(measures of center
Summarize categorical data with numerical and graphical summaries, including the mode,
6(12)(D)
the percent of values in each category (relative frequency table
Interpret numeric data summarized in dot plots, stem-and-leaf plots, histograms, and box
6(13)(A)
plots.
6(13)(B) Distinguish between situations that yield data with and without variability.
Number & Operations
Classify whole numbers, integers, and rational numbers using a visual representation to
6(2)(A)
describe relationships between sets of numbers.
6(2)(B) Identify a number, its opposite, and its absolute value.
6(2)(C) Locate, compare, and order integers and rational numbers using a number line.
6(2)(D) Order a set of rational numbers arising from mathematical and real-world contexts.
Extend representations for division to include fraction notation such as a/b represents the
6(2)(E)
same number as a ÷ b where b ≠ 0.
Recognize that dividing by a rational number and multiplying by its reciprocal result in
6(3)(A)
equivalent values.
Determine, with and without computation, whether a quantity is increased or decreased
6(3)(B)
when multiplied by a fraction, including values greater than or less than one.
Represent integer operations with concrete models and connect the actions with the
6(3)(C)
models to standardized algorithms.
6(3)(D) Add, subtract, multiply, and divide integers fluently.
6(3)(E) Multiply and divide positive rational numbers fluently.
Personal Financial Literacy
Compare the features and costs of a checking account and a debit card offered by different
6(14)(A)
local financial institutions.
6(14)(B) Distinguish between debit cards and credit cards.
6(14)(C) Balance a check register that includes deposits, withdrawals, and transfers.
6(14)(D) Explain why it is important to establish a positive credit history.
© Mindsets Learning 2022 186(14)(E) Describe the information in a credit report and how long it is retained.
6(14)(F) Describe the value of credit reports to borrowers and to lenders.
Explain various methods to pay for college, including through savings, grants, scholarships,
6(14)(G)
student loans, and work-study.
Compare the annual salary of several occupations requiring various levels of post-
6(14)(H) secondary education or vocational training and calculate the effects of the different annual
salaries on lifetime income.
Proportionality
Compare two rules verbally, numerically, graphically, and symbolically in the form of y =
6(4)(A)
ax or y = x + a in order to differentiate between additive and multiplicative relationships.
Apply qualitative and quantitative reasoning to solve prediction and comparison of real-
6(4)(B)
world problems involving ratios and rates.
Give examples of ratios as multiplicative comparisons of two quantities describing the
6(4)(C)
same attribute.
Give examples of rates as the comparison by division of two quantities having different
6(4)(D)
attributes, including rates as quotients.
6(4)(E) Represent ratios and percents with concrete models, fractions, and decimals.
Represent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and
6(4)(F)
multiples of these values using 10 by 10 grids, strip diagrams, number lines, and numbers.
Generate equivalent forms of fractions, decimals, and percents using real-world problems,
6(4)(G)
including problems that involve money.
Convert units within a measurement system, including the use of proportions and unit
6(4)(H)
rates.
Represent mathematical and real-world problems involving ratios and rates using scale
6(5)(A)
factors, tables, graphs, and proportions.
Solve real-world problems to find the whole given a part and the percent, to find the part
6(5)(B) given the whole and the percent, and to find the percent given the part and the whole,
including the use of concrete and pictorial models.
6(5)(C) Use equivalent fractions, decimals, and percents to show equal parts of the same whole.
Grade 7
Standard Description
Expressions, Equations & Relationships
Represent linear relationships using verbal descriptions, tables, graphs, and equations that
7(7)
simplify to the form y = mx + b.
Model the relationship between the volume of a rectangular prism and a rectangular
7(8)(A) pyramid having both congruent bases and heights and connect that relationship to the
formulas.
Explain verbally and symbolically the relationship between the volume of a triangular prism
7(8)(B) and a triangular pyramid having both congruent bases and heights and connect that
relationship to the formulas
Use models to determine the approximate formulas for the circumference and area of a
7(8)(C)
circle and connect the models to the actual formulas.
Solve problems involving the volume of rectangular prisms, triangular prisms, rectangular
7(9)(A)
pyramids, and triangular pyramids.
© Mindsets Learning 2022 197(9)(B) Determine the circumference and area of circles.
Determine the area of composite figures containing combinations of rectangles, squares,
7(9)(C)
parallelograms, trapezoids, triangles, semicircles, and quarter circles
Solve problems involving the lateral and total surface area of a rectangular prism,
7(9)(D) rectangular pyramid, triangular prism, and triangular pyramid by determining the area of
the shape's net.
Write one-variable, two-step equations and inequalities to represent constraints or
7(10)(A)
conditions within problems.
7(10)(B) Represent solutions for one-variable, two-step equations and inequalities on number lines
Write a corresponding real-world problem given a one-variable, two-step equation or
7(10)(C)
inequality.
7(11)(A) Model and solve one-variable, two-step equations and inequalities.
Determine if the given value(s) make(s) one-variable, two-step equations and inequalities
7(11)(B)
true
Write and solve equations using geometry concepts, including the sum of the angles in a
7(11)(C)
triangle, and angle relationships.
Measurement & Data
Compare two groups of numeric data using comparative dot plots or box plots by
7(12)(A)
comparing their shapes, centers, and spreads.
7(12)(B) Use data from a random sample to make inferences about a population
Compare two populations based on data in random samples from these populations,
7(12)(C)
including informal comparative inferences about differences between the two populations.
Number & Operations
Extend previous knowledge of sets and subsets using a visual representation to describe
7(2)
relationships between sets of rational numbers.
7(3)(A) Add, subtract, multiply, and divide rational numbers fluently
Apply and extend previous understandings of operations to solve problems using addition,
7(3)(B)
subtraction, multiplication, and division of rational numbers.
Personal Financial Literacy
7(13)(A) Calculate the sales tax for a given purchase and calculate income tax for earned wages.
Identify the components of a personal budget, including income, planned savings for
7(13)(B) college, retirement, and emergencies, taxes fixed and variable expenses, and calculate
what percentage each category comprises of the total budget.
Create and organize a financial assets and liabilities record and construct a net worth
7(13)(C)
statement.
Use a family budget estimator to determine the minimum household budget and average
7(13)(D) hourly wage needed for a family to meet its basic needs in the student's city or another
large city nearby.
7(13)(E) Calculate and compare simple interest and compound interest earnings.
7(13)(F) Analyze and compare monetary incentives, including sales, rebates, and coupons.
Proportionality
© Mindsets Learning 2022 20Represent constant rates of change in mathematical and real-world problems given
7(4)(A) pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d =
rt.
7(4)(B) Calculate unit rates from rates in mathematical and real-world problems.
Determine the constant of proportionality (k = y/x) within mathematical and real-world
7(4)(C)
problems.
Solve problems involving ratios, rates, and percents, including multi-step problems
7(4)(D)
involving percent increase and percent decrease, and financial literacy problems.
Convert between measurement systems, including the use of proportions and the use of
7(4)(E)
unit rates.
Generalize the critical attributes of similarity, including ratios within and between similar
7(5)(A)
shapes.
7(5)(B) Describe π as the ratio of the circumference of a circle to its diameter
7(5)(C) Solve mathematical and real-world problems involving similar shape and scale drawings.
7(6)(A) Represent sample spaces for simple and compound events using lists and tree diagrams.
Select and use different simulations to represent simple and compound events with and
7(6)(B)
without technology.
Make predictions and determine solutions using experimental data for simple and
7(6)(C)
compound events.
Make predictions and determine solutions using theoretical probability for simple and
7(6)(D)
compound events.
Find the probabilities of a simple event and its complement and describe the relationship
7(6)(E)
between the two.
7(6)(F) Use data from a random sample to make inferences about a population.
Solve problems using data represented in bar graphs, dot plots, and circle graphs,
7(6)(G)
including part-to-whole and part-to-part comparisons and equivalents.
Solve problems using qualitative and quantitative predictions and comparisons from simple
7(6)(H)
experiments
Determine experimental and theoretical probabilities related to simple and compound
7(6)(I)
events using data and sample spaces.
Grade 8
Standard Description
Expressions, Equations & Relationships
8(6)(A) Describe the volume formula V = Bh of a cylinder in terms of its base area and its height.
Model the relationship between the volume of a cylinder and a cone having both congruent
8(6)(B)
bases and heights and connect that relationship to the formulas.
8(6)(C) Use models and diagrams to explain the Pythagorean theorem.
8(7)(A) Solve problems involving the volume of cylinders, cones, and spheres.
Use previous knowledge of surface area to make connections to the formulas for lateral
8(7)(B) and total surface area and determine solutions for problems involving rectangular prisms,
triangular prisms, and cylinders.
8(7)(C) Use the Pythagorean Theorem and its converse to solve problems.
© Mindsets Learning 2022 21Determine the distance between two points on a coordinate plane using the Pythagorean
8(7)(D)
Theorem.
Write one-variable equations or inequalities with variables on both sides that represent
8(8)(A)
problems using rational number coefficients and constants.
Write a corresponding real-world problem when given a one-variable equation or inequality
8(8)(B) with variables on both sides of the equal sign using rational number coefficients and
constants.
Model and solve one-variable equations with variables on both sides of the equal sign that
8(8)(C) represent mathematical and real-world problems using rational number coefficients and
constants.
Use informal arguments to establish facts about the angle sum and exterior angle of
8(8)(D) triangles, the angles created when parallel lines are cut by a transversal, and the angle-
angle criterion for similarity of triangles.
Identify and verify the values of x and y that simultaneously satisfy two linear equations in
8(9)(A)
the form y = mx + b from the intersections of the graphed equations.
Measurement & Data
Construct a scatterplot and describe the observed data to address questions of association
8(11)(A)
such as linear, non-linear, and no association between bivariate data.
Determine the mean absolute deviation and use this quantity as a measure of the average
8(11)(B)
distance data are from the mean using a data set of no more than 10 data points.
Simulate generating random samples of the same size from a population with known
8(11)(C) characteristics to develop the notion of a random sample being representative of the
population from which it was selected.
Number & Operations
Extend previous knowledge of sets and subsets using a visual representation to describe
8(2)(A)
relationships between sets of real numbers.
Approximate the value of an irrational number, including π and square roots of numbers
8(2)(B)
less than 225, and locate that rational number approximation on a number line.
8(2)(C) Convert between standard decimal notation and scientific notation
8(2)(D) Order a set of real numbers arising from mathematical and real-world contexts.
Personal Financial Literacy
Solve real-world problems comparing how interest rate and loan length affect the cost of
8(12)(A)
credit.
Calculate the total cost of repaying a loan, including credit cards and easy access loans,
8(12)(B)
under various rates of interest and over different periods using an online calculator.
Explain how small amounts of money invested regularly, including money saved for college
8(12)(C)
and retirement, grow over time.
8(12)(D) Calculate and compare simple interest and compound interest earnings.
8(12)(E) Identify and explain the advantages and disadvantages of different payment methods.
Analyze situations to determine if they represent financially responsible decisions and
8(12)(F)
identify the benefits of financial responsibility and the costs of financial irresponsibility.
Estimate the cost of a two-year and four-year college education, including family
8(12)(G) contribution, and devise a periodic savings plan for accumulating the money needed to
contribute to the total cost of attendance for at least the first year of college.
© Mindsets Learning 2022 22Proportionality
Generalize that the ratio of corresponding sides of similar shapes are proportional,
8(3)(A)
including a shape and its dilation.
8(3)(B) Compare and contrast the attributes of a shape and its dilation(s).
Use an algebraic representation to explain the effect of a given positive rational scale
8(3)(C) factor applied to two-dimensional figures on a coordinate plane with the origin as the
center of dilation.
Use similar right triangles to develop an understanding that slope, m, given as the rate
8(4)(A) comparing the change in y-values to the change in x-values, (y2 - y1)/ (x2 - x1), is the
same for any two points (x1, y1) and (x2, y2) on the same line.
Graph proportional relationships, interpreting the unit rate as the slope of the line that
8(4)(B)
models the relationship.
Use data from a table or graph to determine the rate of change or slope and y-intercept in
8(4)(C)
mathematical and real-world problems.
Represent linear proportional situations with tables, graphs, and equations in the form of y
8(5)(A)
= kx.
Represent linear non-proportional situations with tables, graphs, and equations in the form
8(5)(B)
of y = mx + b, where b ≠ 0.
Contrast bivariate sets of data that suggest a linear relationship with bivariate sets of data
8(5)(C)
that do not suggest a linear relationship from a graphical representation.
Use a trend line that approximates the linear relationship between bivariate sets of data to
8(5)(D)
make predictions.
8(5)(E) Solve problems involving direct variation.
Distinguish between proportional and non-proportional situations using tables, graphs, and
8(5)(F)
equations in the form y = kx or y = mx + b, where b ≠ 0.
8(5)(G) Identify functions using sets of ordered pairs, tables, mappings, and graphs.
Identify examples of proportional and non-proportional functions that arise from
8(5)(H)
mathematical and real-world problems.
Write an equation in the form y = mx + b to model a linear relationship between two
8(5)(I)
quantities using verbal, numerical, tabular, and graphical representations.
Two-dimensional shapes
Generalize the properties of orientation and congruence of rotations, reflections,
8(10)(A)
translations, and dilations of two-dimensional shapes on a coordinate plane.
8(10)(B) Differentiate between transformations that preserve congruence and those that do not.
Explain the effect of translations, reflections over the x- or y-axis, and rotations limited to
8(10)(C) 90°, 180°, 270°, and 360° as applied to two-dimensional shapes on a coordinate plane
using an algebraic representation.
8(10)(D) Model the effect on linear and area measurements of dilated two-dimensional shapes.
High School
Standard Description
Algebra I
The student uses mathematical processes to acquire and demonstrate mathematical
A(1)
understanding.
© Mindsets Learning 2022 23A(1)(A) Apply mathematics to problems arising in everyday life, society, and the workplace.
Use a problem-solving model that incorporates analyzing given information, formulating a
A(1)(B) plan or strategy, determining a solution, justifying the solution, and evaluating the
problem-solving process and the reasonableness of the solution.
Select tools, including real objects, manipulatives, paper and pencil, and technology as
A(1)(C) appropriate, and techniques, including mental math, estimation, and number sense as
appropriate, to solve problems.
Communicate mathematical ideas, reasoning, and their implications using multiple
A(1)(D)
representations, including symbols, diagrams, graphs, and language as appropriate.
A(1)(E) Create and use representations to organize, record, and communicate mathematical ideas.
A(1)(F) Analyze mathematical relationships to connect and communicate mathematical ideas.
Display, explain, and justify mathematical ideas and arguments using precise
A(1)(G)
mathematical language in written or oral communication.
Linear functions, equations, and inequalities. The student applies the mathematical
process standards when using properties of linear functions to write and represent in
A(2)
multiple ways, with and without technology, linear equations, inequalities, and systems of
equations.
Determine the domain and range of a linear function in mathematical problems; determine
A(2)(A) reasonable domain and range values for real-world situations, both continuous and
discrete; and represent domain and range using inequalities.
write linear equations in two variables in various forms, including y=mx+b, Ax+By=C, and
A(2)(B)
y−y₁=m(x−x₁), given one point and the slope and given two points.
Write linear equations in two variables given a table of values, a graph, and a verbal
A(2)(C)
description.
A(2)(D) Write and solve equations involving direct variation.
A(2)(E) Write the equation of a line that contains a given point and is parallel to a given line.
A(2)(F) Write the equation of a line that contains a given point and is perpendicular to a given line.
Write an equation of a line that is parallel or perpendicular to the X or Y axis and determine
A(2)(G)
whether the slope of the line is zero or undefined.
Write linear inequalities in two variables given a table of values, a graph, and a verbal
A(2)(H)
description.
write systems of two linear equations given a table of values, a graph, and a verbal
A(2)(I)
description.
Linear functions, equations, and inequalities. The student applies the mathematical
process standards when using graphs of linear functions, key features, and related
A(3)
transformations to represent in multiple ways and solve, with and without technology,
equations, inequalities, and systems of equations.
Determine the slope of a line given a table of values, a graph, two points on the line, and
A(3)(A)
an equation written in various forms, including y=mx+b, Ax+By=C, and y−y₁=m(x−x₁).
Calculate the rate of change of a linear function represented tabularly, graphically, or
A(3)(B)
algebraically in context of mathematical and real-world problems.
Graph linear functions on the coordinate plane and identify key features, including x-
A(3)(C)
intercept, y-intercept, zeros, and slope, in mathematical and real-world problems.
A(3)(D) Graph the solution set of linear inequalities in two variables on the coordinate plane.
© Mindsets Learning 2022 24Determine the effects on the graph of the parent function f(x)=x when f(x) is replaced by
A(3)(E)
af(x), f(x)+d, f(x−c), f(bx) for specific values of a, b, c, and d.
Graph systems of two linear equations in two variables on the coordinate plane and
A(3)(F)
determine the solutions if they exist.
Estimate graphically the solutions to systems of two linear equations with two variables in
A(3)(G)
real-world problems.
Graph the solution set of systems of two linear inequalities in two variables on the
A(3)(H)
coordinate plane.
Linear functions, equations, and inequalities. The student applies the mathematical
A(4) process standards to formulate statistical relationships and evaluate their reasonableness
based on real-world data.
Calculate, using technology, the correlation coefficient between two quantitative variables
A(4)(A)
and interpret this quantity as a measure of the strength of the linear association.
A(4)(B) Compare and contrast association and causation in real-world problems.
Write, with and without technology, linear functions that provide a reasonable fit to data to
A(4)(C)
estimate solutions and make predictions for real-world problems.
Linear functions, equations, and inequalities. The student applies the mathematical
A(5) process standards to solve, with and without technology, linear equations and evaluate the
reasonableness of their solutions.
Solve linear equations in one variable, including those for which the application of the
A(5)(A)
distributive property is necessary and for which variables are included on both sides.
Solve linear inequalities in one variable, including those for which the application of the
A(5)(B)
distributive property is necessary and for which variables are included on both sides.
Solve systems of two linear equations with two variables for mathematical and real-world
A(5)(C)
problems.
Quadratic functions and equations. The student applies the mathematical process
A(6) standards when using properties of quadratic functions to write and represent in multiple
ways, with and without technology, quadratic equations.
Determine the domain and range of quadratic functions and represent the domain and
A(6)(A)
range using inequalities.
Write equations of quadratic functions given the vertex and another point on the graph,
A(6)(B) write the equation in vertex form (f(x)=a(x−h)²+k), and rewrite the equation from vertex
form to standard form (f(x)=ax²+bx+c).
A(6)(C) Write quadratic functions when given real solutions and graphs of their related equations.
Quadratic functions and equations. The student applies the mathematical process
standards when using graphs of quadratic functions and their related transformations to
A(7)
represent in multiple ways and determine, with and without technology, the solutions to
equations.
Graph quadratic functions on the coordinate plane and use the graph to identify key
A(7)(A) attributes, if possible, including x-intercept, y-intercept, zeros, maximum value, minimum
values, vertex, and the equation of the axis of symmetry.
Describe the relationship between the linear factors of quadratic expressions and the zeros
A(7)(B)
of their associated quadratic functions.
Determine the effects on the graph of the parent function f(x)=x² when f(x) is replaced by
A(7)(C)
af(x), f(x)+d, f(x−c), f(bx) for specific values of a, b, c, and d.
© Mindsets Learning 2022 25Quadratic functions and equations. The student applies the mathematical process
standards to solve, with and without technology, quadratic equations and evaluate the
A(8)
reasonableness of their solutions. The student formulates statistical relationships and
evaluates their reasonableness based on real-world data.
Solve quadratic equations having real solutions by factoring, taking square roots,
A(8)(A)
completing the square, and applying the quadratic formula.
Write, using technology, quadratic functions that provide a reasonable fit to data to
A(8)(B)
estimate solutions and make predictions for real-world problems.
Exponential functions and equations. The student applies the mathematical process
standards when using properties of exponential functions and their related transformations
A(9) to write, graph, and represent in multiple ways exponential equations and evaluate, with
and without technology, the reasonableness of their solutions. The student formulates
statistical relationships and evaluates their reasonableness based on real-world data.
Determine the domain and range of exponential functions of the form f(x)=abx and
A(9)(A)
represent the domain and range using inequalities.
Interpret the meaning of the values of a and b in exponential functions of the form
A(9)(B)
f(x)=abx in real-world problems.
Write exponential functions in the form f(x)=abx (where b is a rational number) to describe
A(9)(C)
problems arising from mathematical and real-world situations, including growth and decay.
Graph exponential functions that model growth and decay and identify key features,
A(9)(D)
including y-intercept and asymptote, in mathematical and real-world problems.
Write, using technology, exponential functions that provide a reasonable fit to data and
A(9)(E)
make predictions for real-world problems.
Number and algebraic methods. The student applies the mathematical process standards
A(10) and algebraic methods to rewrite in equivalent forms and perform operations on
polynomial expressions.
A(10)(A) Add and subtract polynomials of degree one and degree two.
A(10)(B) Multiply polynomials of degree one and degree two.
Determine the quotient of a polynomial of degree one and polynomial of degree two when
A(10)(C) divided by a polynomial of degree one and polynomial of degree two when the degree of
the divisor does not exceed the degree of the dividend.
Rewrite polynomial expressions of degree one and degree two in equivalent forms using
A(10)(D)
the distributive property.
Factor, if possible, trinomials with real factors in the form ax2+bx+c, including perfect
A(10)(E)
square trinomials of degree two.
Decide if a binomial can be written as the difference of two squares and, if possible, use
A(10)(F)
the structure of a difference of two squares to rewrite the binomial.
Number and algebraic methods. The student applies the mathematical process standards
A(11)
and algebraic methods to rewrite algebraic expressions into equivalent forms.
A(11)(A) Simplify numerical radical expressions involving square roots.
Simplify numeric and algebraic expressions using the laws of exponents, including integral
A(11)(B)
and rational exponents.
Number and algebraic methods. The student applies the mathematical process standards
A(12) and algebraic methods to write, solve, analyze, and evaluate equations, relations, and
functions.
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