Core Curriculum

I.1.d: Express numbers in scientific notation using positive powers of ten.

I.2.a: Place rational numbers on the number line.

Fraction Garden (Comparing Fractions)

Modeling Decimals (Area and Grid Models)

Modeling Fractions (Area Models)

Rational Numbers, Opposites, and Absolute Values

I.2.b: Compare and order rational numbers, including positive and negative mixed fractions and decimals, using a variety of methods and symbols, including the number line and finding common denominators.

Rational Numbers, Opposites, and Absolute Values

I.2.d: Relate percents less than 1% or greater than 100% to equivalent fractions, decimals, whole numbers, and mixed numbers.

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

Percents, Fractions, and Decimals

I.2.e: Recognize that the sum of an integer and its additive inverse is zero.

Adding and Subtracting Integers

Adding on the Number Line

I.3.a: Determine whether whole numbers to 100 are prime, composite, or neither.

Chocomatic (Multiplication, Arrays, and Area)

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

I.3.b: Find the prime factorization of composite numbers to 100.

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

I.4.a: Relate fractions to multiplication and division and use this relationship to explain procedures for multiplying and dividing fractions.

Dividing Fractions

Dividing Mixed Numbers

Factor Trees (Factoring Numbers)

Fraction Artist 1 (Area Models of Fractions)

Multiplying Fractions

Multiplying Mixed Numbers

Percents, Fractions, and Decimals

Proportions and Common Multipliers

Solving Algebraic Equations II

I.5.a: Select appropriate methods to solve a multi-step problem involving multiplication and division of fractions and decimals.

Multiplying Decimals (Area Model)

I.5.c: Use estimation or calculation to compute results, depending on the context and numbers involved in the problem.

Estimating Population Size

Estimating Sums and Differences

Multiplying Decimals (Area Model)

I.5.d: Solve problems involving ratios and proportions.

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Geometric Probability

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

Proportions and Common Multipliers

Road Trip (Problem Solving)

I.6.a: Multiply and divide a multi-digit number by a two-digit number, including decimals.

Multiplying Decimals (Area Model)

I.6.b: Add, subtract, multiply, and divide fractions and mixed numbers.

Adding Fractions (Fraction Tiles)

Dividing Fractions

Dividing Mixed Numbers

Estimating Sums and Differences

Fraction Artist 2 (Area Models of Fractions)

Fractions Greater than One (Fraction Tiles)

Fractions with Unlike Denominators

Improper Fractions and Mixed Numbers

Modeling Fractions (Area Models)

Multiplying Fractions

Multiplying Mixed Numbers

I.6.c: Add and subtract integers.

Adding and Subtracting Integers

Adding on the Number Line

Addition of Polynomials

II.1.a: Describe simple relationships by creating and analyzing tables, equations, and expressions.

II.1.b: Draw a graph and write an equation from a table of values.

Function Machines 2 (Functions, Tables, and Graphs)

Introduction to Functions

Points, Lines, and Equations

II.1.c: Draw a graph and create a table of values from an equation.

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

Function Machines 2 (Functions, Tables, and Graphs)

Introduction to Functions

Points, Lines, and Equations

Solving Equations on the Number Line

II.2.a: Solve single variable linear equations using a variety of strategies.

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Solving Algebraic Equations I

Solving Algebraic Equations II

Solving Equations by Graphing Each Side

Solving Two-Step Equations

II.2.b: Recognize that expressions in different forms can be equivalent and rewrite an expression to represent a quantity in a different way.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

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

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

II.2.c: Evaluate and simplify expressions and formulas, substituting given values for the variables (e.g., 2x + 4; x = 2; therefore, 2 (2) + 4 = 8).

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

III.1.a: Identify the midpoint of a line segment and the center and circumference of a circle.

Circles

Circumference and Area of Circles

III.1.b: Identify angles as vertical, adjacent, complementary, or supplementary and provide descriptions of these terms.

Investigating Angle Theorems

Triangle Angle Sum

IV.1.a: Explore the relationship between the radius and diameter of a circle to the circle?s circumference to develop the formula for circumference.

Circumference and Area of Circles

IV.1.b: Find the circumference of a circle using a formula.

Circumference and Area of Circles

IV.1.e: Find the area of a circle using a formula.

Circumference and Area of Circles

IV.2.b: Convert units of measurement within the metric system and convert units of measurement within the customary system.

IV.2.d: Determine when it is appropriate to estimate or use precise measurement when solving problems.

IV.2.e: Derive and use the formula to determine the surface area and volume of a cylinder.

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

V.1.a: Design investigations to answer questions.

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

Time Estimation

V.1.b: Extend data display and comparisons to include scatter plots and circle graphs.

Graphing Skills

Trends in Scatter Plots

V.1.c: Compare two similar sets of data on the same graph and compare two graphs representing the same set of data.

Graphing Skills

Mascot Election (Pictographs and Bar Graphs)

Movie Reviewer (Mean and Median)

Reaction Time 2 (Graphs and Statistics)

V.1.d: Recognize that changing the scale influences the appearance of a display of data.

Graphing Skills

Mascot Election (Pictographs and Bar Graphs)

Stem-and-Leaf Plots

V.1.e: Propose and justify inferences and predictions based on data.

Polling: City

Real-Time Histogram

V.2.a: Write the results of a probability experiment as a fraction between zero and one, or an equivalent percent.

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

V.2.b: Compare experimental results with theoretical results (e.g., experimental: 7 out of 10 tails; whereas, theoretical 5 out of 10 tails).

Geometric Probability

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

V.2.c: Compare individual, small group, and large group results of a probability experiment in order to more accurately estimate the actual probabilities.

Independent and Dependent Events

Correlation last revised: 5/24/2018

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