Core Curriculum

I.1.a: Demonstrate multiple ways to represent whole numbers, decimals, fractions, percents, and integers using models and real-life examples.

Dividing Mixed Numbers

Fraction Garden (Comparing Fractions)

Improper Fractions and Mixed Numbers

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

Percents, Fractions, and Decimals

Toy Factory (Set Models of Fractions)

I.1.b: Simplify numerical expressions with whole number exponents using order of operations, and recognize that any positive number to the 0 power is 1.

I.1.c: Represent numbers greater than one using scientific notation.

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

I.1.d: Select the most appropriate form of a rational number for a given context.

Estimating Population Size

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

Percents, Fractions, and Decimals

I.2.a: Identify, read, and locate rational numbers on a number line.

Fraction Garden (Comparing Fractions)

Rational Numbers, Opposites, and Absolute Values

I.2.b: Compare pairs of rational numbers in different forms.

Rational Numbers, Opposites, and Absolute Values

I.2.c: Order rational numbers with and without a number line.

Comparing and Ordering Decimals

Fraction Garden (Comparing Fractions)

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

I.3.a: Find equivalent forms for common fractions, decimals, percents, and ratios, including repeating or terminating decimals.

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

Percents, Fractions, and Decimals

I.3.d: Recognize and use the inverse operations of adding and subtracting a fixed number, multiplying and dividing by a fixed number, and computing squares of whole numbers and taking square roots of perfect squares.

Dividing Polynomials Using Synthetic Division

Function Machines 3 (Functions and Problem Solving)

Modeling One-Step Equations

Simplifying Algebraic Expressions I

Solving Two-Step Equations

Square Roots

I.4.a: Demonstrate that the fraction a/b represents a divided by b.

Dividing Fractions

Dividing Mixed Numbers

Percents, Fractions, and Decimals

Proportions and Common Multipliers

Solving Algebraic Equations II

I.4.b: Recognize percents as ratios based on 100 and decimals as ratios based on powers of 10.

Beam to Moon (Ratios and Proportions)

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

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

I.5.a: Compute fluently using all four operations with integers and positive fractions and decimals.

Adding Fractions (Fraction Tiles)

Adding and Subtracting Integers

Adding on the Number Line

Addition of Polynomials

Dividing Fractions

Dividing Mixed Numbers

Estimating Sums and Differences

Fractions Greater than One (Fraction Tiles)

Fractions with Unlike Denominators

Improper Fractions and Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

I.5.b: Solve problems using factors, multiples, prime factorization, relatively prime numbers, and common divisibility rules.

Finding Factors with Area Models

I.5.c: Solve application problems involving rational numbers.

I.5.d: Determine if an answer is reasonable using estimation.

Estimating Sums and Differences

II.1.b: Solve percent problems using ratio and proportion, including problems involving discounts, interest, taxes, tips, and percent increase or decrease.

Compound Interest

Percent of Change

II.1.c: Solve problems involving proportions, rates, and measures.

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

Estimating Population Size

Geometric Probability

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

Proportions and Common Multipliers

II.2.a: Convert from one unit of measurement to an equivalent unit of measurement in the same system using a given conversion factor.

II.2.b: Understand that in a proportional relationship, all dimensions change by the same scale factor.

Beam to Moon (Ratios and Proportions)

Dilations

III.1.b: Translate verbal expressions into algebraic expressions.

Improper Fractions and Mixed Numbers

Multiplying with Decimals

Solving Equations on the Number Line

Using Algebraic Equations

Using Algebraic Expressions

III.1.c: Simplify and evaluate algebraic expressions.

Compound Interest

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Operations with Radical Expressions

Order of Operations

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Equations by Graphing Each Side

Solving Equations on the Number Line

III.1.d: Show that performing the same operation on both sides of an equation will produce an equivalent equation.

Absolute Value Equations and Inequalities

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Exponents and Power Rules

Linear Functions

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Equations on the Number Line

Using Algebraic Equations

III.1.e: Solve single-variable linear equations and inequalities of the formax + b = c, ax + b < c, or ax + b > c.

Modeling and Solving Two-Step Equations

Solving Algebraic Equations II

Solving Equations by Graphing Each Side

Solving Linear Inequalities in One Variable

III.2.a: Identify integer coordinates when given the graph of a point on a rectangular coordinate system.

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Points in the Coordinate Plane

Points, Lines, and Equations

III.2.b: Graph ordered pairs of integers on a rectangular coordinate system.

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Points in the Coordinate Plane

Points, Lines, and Equations

III.2.c: Model real-world problems using graphs, tables, equations, manipulatives, and pictures.

Solving Equations on the Number Line

IV.1.c: Draw, label, and describe attributes of angles, triangles, and quadrilaterals.

Classifying Quadrilaterals

Classifying Triangles

Special Parallelograms

IV.2.b: Measure length, area, volume, and angles to appropriate levels of precision.

IV.2.c: Calculate the measurement of everyday objects using formulas for perimeters and areas of triangles and quadrilaterals, and circumferences and areas of circles.

Area of Parallelograms

Perimeter and Area of Rectangles

V.1.a: Write the results of a probability experiment as a fraction, ratio, or decimal, between zero and one, or as a percent between zero and one hundred, inclusive.

Geometric Probability

Spin the Big Wheel! (Probability)

V.1.b: Compare experimental results with theoretical probability.

Geometric Probability

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

V.1.c: Compare individual, small group, and large group results of a probability experiment.

V.2.a: Display data using tables, scatter plots, and circle graphs.

Correlation

Graphing Skills

Reaction Time 2 (Graphs and Statistics)

Solving Using Trend Lines

Stem-and-Leaf Plots

Trends in Scatter Plots

V.2.b: Compare two similar sets of data on the same graph.

Graphing Skills

Movie Reviewer (Mean and Median)

Reaction Time 2 (Graphs and Statistics)

V.2.c: Compare two different kinds of graphs representing the same set of data.

Graphing Skills

Movie Reviewer (Mean and Median)

Reaction Time 2 (Graphs and Statistics)

V.2.d: Propose and justify inferences and predictions based on data.

Polling: City

Real-Time Histogram

Correlation last revised: 1/20/2017

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