MO--Learning Standards

NS.A.1: Explore the real number system.

NS.A.1.a: Know the differences between rational and irrational numbers.

Part-to-part and Part-to-whole Ratios

Percents, Fractions, and Decimals

NS.A.1.b: Understand that all rational numbers have a decimal expansion that terminates or repeats.

Part-to-part and Part-to-whole Ratios

Percents, Fractions, and Decimals

NS.A.1.c: Convert decimals which repeat into fractions and fractions into repeating decimals.

Part-to-part and Part-to-whole Ratios

Percents, Fractions, and Decimals

NS.A.1.d: Generate equivalent representations of rational numbers.

Dividing Mixed Numbers

Improper Fractions and Mixed Numbers

Part-to-part and Part-to-whole Ratios

Percents, Fractions, and Decimals

Rational Numbers, Opposites, and Absolute Values

NS.A.2: Estimate the value and compare the size of irrational numbers and approximate their locations on a number line.

Circumference and Area of Circles

Square Roots

EEI.A.1: Know and apply the properties of integer exponents to generate equivalent expressions.

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

Simplifying Algebraic Expressions II

EEI.A.2: Investigate concepts of square and cube roots.

EEI.A.2.a: Solve equations of the form x² = p and x³ = p, where p is a positive rational number.

Operations with Radical Expressions

Simplifying Radical Expressions

Square Roots

EEI.A.2.b: Evaluate square roots of perfect squares less than or equal to 625 and cube roots of perfect cubes less than or equal to 1000.

Operations with Radical Expressions

Simplifying Radical Expressions

Square Roots

EEI.A.2.c: Recognize that square roots of non-perfect squares are irrational.

Operations with Radical Expressions

Simplifying Radical Expressions

Square Roots

EEI.A.3: Express very large and very small quantities in scientific notation and approximate how many times larger one is than the other.

Number Systems

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

EEI.A.4: Use scientific notation to solve problems.

EEI.A.4.a: Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used.

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

EEI.A.4.b: Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities.

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

EEI.B.1: Graph proportional relationships.

EEI.B.1.a: Interpret the unit rate as the slope of the graph.

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

Distance-Time and Velocity-Time Graphs

EEI.B.1.b: Compare two different proportional relationships.

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

EEI.B.2: Apply concepts of slope and y-intercept to graphs, equations and proportional relationships.

EEI.B.2.a: Explain why the slope (m) is the same between any two distinct points on a non-vertical line in the Cartesian coordinate plane.

Cat and Mouse (Modeling with Linear Systems)

Linear Inequalities in Two Variables

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

EEI.B.2.b: Derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

Linear Inequalities in Two Variables

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

EEI.C.1: Solve linear equations and inequalities in one variable.

EEI.C.1.a: Create and identify linear equations with one solution, infinitely many solutions or no solutions.

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

Solving Two-Step Equations

EEI.C.1.b: Solve linear equations and inequalities with rational number coefficients, including equations and inequalities whose solutions require expanding expressions using the distributive property and combining like terms.

Modeling and Solving Two-Step Equations

Solving Algebraic Equations I

Solving Algebraic Equations II

Solving Equations by Graphing Each Side

Solving Equations on the Number Line

Solving Linear Inequalities in One Variable

Solving Two-Step Equations

EEI.C.2: Analyze and solve systems of linear equations.

EEI.C.2.a: Graph systems of linear equations and recognize the intersection as the solution to the system.

Cat and Mouse (Modeling with Linear Systems)

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

EEI.C.2.b: Explain why solution(s) to a system of two linear equations in two variables correspond to point(s) of intersection of the graphs.

Cat and Mouse (Modeling with Linear Systems)

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

EEI.C.2.c: Explain why systems of linear equations can have one solution, no solution or infinitely many solutions.

Cat and Mouse (Modeling with Linear Systems)

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

EEI.C.2.d: Solve systems of two linear equations.

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

GM.A.1: Verify experimentally the congruence properties of rigid transformations.

GM.A.1.a: Verify that angle measure, betweeness, collinearity and distance are preserved under rigid transformations.

Circles

Dilations

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

Similar Figures

Translations

GM.A.1.b: Investigate if orientation is preserved under rigid transformations.

Dilations

Rock Art (Transformations)

Rotations, Reflections, and Translations

Translations

GM.A.2: Understand that two-dimensional figures are congruent if a series of rigid transformations can be performed to map the pre-image to the image.

GM.A.2.a: Describe a possible sequence of rigid transformations between two congruent figures.

Dilations

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

Translations

GM.A.3: Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates.

Dilations

Rock Art (Transformations)

Rotations, Reflections, and Translations

Translations

GM.A.4: Understand that two-dimensional figures are similar if a series of transformations (rotations, reflections, translations and dilations) can be performed to map the pre-image to the image.

GM.A.4.a: Describe a possible sequence of transformations between two similar figures.

GM.A.5: Explore angle relationships and establish informal arguments.

GM.A.5.a: Derive the sum of the interior angles of a triangle.

Investigating Angle Theorems

Isosceles and Equilateral Triangles

Polygon Angle Sum

Similar Figures

Similarity in Right Triangles

Triangle Angle Sum

GM.A.5.b: Explore the relationship between the interior and exterior angles of a triangle.

Investigating Angle Theorems

Isosceles and Equilateral Triangles

Polygon Angle Sum

Similar Figures

Similarity in Right Triangles

Triangle Angle Sum

GM.A.5.c: Construct and explore the angles created when parallel lines are cut by a transversal.

Investigating Angle Theorems

Isosceles and Equilateral Triangles

Polygon Angle Sum

Similar Figures

Similarity in Right Triangles

Triangle Angle Sum

GM.A.5.d: Use the properties of similar figures to solve problems.

Perimeters and Areas of Similar Figures

Similar Figures

Similarity in Right Triangles

GM.B.1: Use models to demonstrate a proof of the Pythagorean Theorem and its converse.

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

GM.B.2: Use the Pythagorean Theorem to determine unknown side lengths in right triangles in problems in two- and three-dimensional contexts.

Circles

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Surface and Lateral Areas of Pyramids and Cones

GM.B.3: Use the Pythagorean Theorem to find the distance between points in a Cartesian coordinate system.

Circles

Distance Formula

Pythagorean Theorem

GM.C.1: Solve problems involving surface area and volume.

GM.C.1.a: Understand the concept of surface area and find surface area of pyramids.

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

GM.C.1.b: Understand the concepts of volume and find the volume of pyramids, cones and spheres.

Prisms and Cylinders

Pyramids and Cones

DSP.A.1: Construct and interpret scatter plots of bivariate measurement data to investigate patterns of association between two quantities.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

DSP.A.2: Generate and use a trend line for bivariate data, and informally assess the fit of the line.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

DSP.A.3: Interpret the parameters of a linear model of bivariate measurement data to solve problems.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

DSP.A.4: Understand the patterns of association in bivariate categorical data displayed in a two-way table.

DSP.A.4.a: Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects.

DSP.A.4.b: Use relative frequencies calculated for rows or columns to describe possible association between the two variables.

F.A.1: Explore the concept of functions. (The use of function notation is not required.)

F.A.1.a: Understand that a function assigns to each input exactly one output.

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Introduction to Functions

Linear Functions

Points, Lines, and Equations

F.A.1.b: Determine if a relation is a function.

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Introduction to Functions

Linear Functions

Points, Lines, and Equations

F.A.1.c: Graph a function.

Absolute Value with Linear Functions

Exponential Functions

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Introduction to Exponential Functions

Introduction to Functions

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Quadratics in Factored Form

Quadratics in Polynomial Form

Radical Functions

Standard Form of a Line

F.A.2: Compare characteristics of two functions each represented in a different way.

Function Machines 2 (Functions, Tables, and Graphs)

Graphs of Polynomial Functions

Linear Functions

Quadratics in Polynomial Form

F.A.3: Investigate the differences between linear and nonlinear functions.

F.A.3.a: Interpret the equation y = mx + b as defining a linear function, whose parameters are the slope (m) and the y-intercept (b).

Absolute Value with Linear Functions

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

F.A.3.b: Recognize that the graph of a linear function has a constant rate of change.

Absolute Value with Linear Functions

Cat and Mouse (Modeling with Linear Systems)

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

F.A.3.c: Give examples of nonlinear functions.

Absolute Value with Linear Functions

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

F.B.1: Use functions to model linear relationships between quantities.

F.B.1.a: Explain the parameters of a linear function based on the context of a problem.

Arithmetic Sequences

Cat and Mouse (Modeling with Linear Systems)

Compound Interest

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Points, Lines, and Equations

Slope-Intercept Form of a Line

Translating and Scaling Functions

F.B.1.b: Determine the parameters of a linear function.

Arithmetic Sequences

Cat and Mouse (Modeling with Linear Systems)

Compound Interest

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Points, Lines, and Equations

Slope-Intercept Form of a Line

Translating and Scaling Functions

F.B.1.c: Determine the x-intercept of a linear function.

Cat and Mouse (Modeling with Linear Systems)

Linear Functions

Points, Lines, and Equations

Slope-Intercept Form of a Line

F.B.2: Describe the functional relationship between two quantities from a graph or a verbal description.

Absolute Value with Linear Functions

Arithmetic Sequences

Exponential Functions

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Graphs of Polynomial Functions

Introduction to Exponential Functions

Linear Functions

Points, Lines, and Equations

Quadratics in Factored Form

Quadratics in Polynomial Form

Radical Functions

Slope-Intercept Form of a Line

Translating and Scaling Functions

Correlation last revised: 9/16/2020

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.