Core Curriculum

I.1.c: Check the reasonableness of results using estimation.

Estimating Sums and Differences

I.2.a: Order rational numbers in various forms, including scientific notation (positive and negative exponents), and place numbers on a number line.

Comparing and Ordering Decimals

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

Unit Conversions

I.2.c: Recognize and use the identity properties of addition and multiplication, the multiplicative property of zero, the commutative and associative properties of addition and multiplication, and the distributive property of multiplication over addition.

Adding and Subtracting Integers

Adding on the Number Line

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Square Roots

I.2.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.3.a: Recognize the absolute value of a rational number as its distance from zero.

Absolute Value Equations and Inequalities

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

I.3.b: Simplify numerical expressions, including those with whole number exponents and absolute values, using the order of operations.

I.3.c: Solve problems involving rational numbers, percents, and proportions.

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

Estimating Population Size

Geometric Probability

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

Percent of Change

Percents, Fractions, and Decimals

Proportions and Common Multipliers

Rational Numbers, Opposites, and Absolute Values

Real-Time Histogram

Time Estimation

II.1.a: Compare ratios to determine if they are equivalent.

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

Percents, Fractions, and Decimals

II.1.c: Represent percents as ratios based on 100 and decimals as ratios based on powers of ten.

Beam to Moon (Ratios and Proportions)

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

Percents and Proportions

Percents, Fractions, and Decimals

II.2.b: Solve percent problems, including problems involving discounts, interest, taxes, tips, and percent increase or decrease.

Compound Interest

Percent of Change

Percents, Fractions, and Decimals

Real-Time Histogram

Time Estimation

II.2.c: Solve ratio and rate problems using informal methods.

II.3.a: Define similar polygons as polygons with corresponding angles congruent and corresponding sides that are proportional.

Perimeters and Areas of Similar Figures

Similar Figures

II.3.b: Identify pairs of similar triangles using two pairs of congruent angles, or two pairs of proportional sides with congruent included angles.

III.1.a: Compare representations of a relation using tables, graphs, algebraic symbols, and mathematical rules.

Function Machines 1 (Functions and Tables)

Introduction to Functions

Linear Functions

III.1.b: Describe simple patterns using a mathematical rule or algebraic expression.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

Pattern Finder

III.1.c: Create and extend simple numerical and visual patterns.

Finding Patterns

Function Machines 1 (Functions and Tables)

Pattern Finder

III.2.b: Simplify algebraic expressions using the order of operations, algebraic properties, and exponent rules.

Dividing Exponential Expressions

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Exponents and Power Rules

Multiplying Exponential Expressions

Operations with Radical Expressions

Order of Operations

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Algebraic Equations I

Solving Algebraic Equations II

III.2.c: Solve single-variable linear equations and inequalities, including those that must be simplified on one side or those with variables on both sides of an equation.

Solving Algebraic Equations II

III.3.b: Graph ordered pairs of rational numbers on a rectangular coordinate system.

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Points in the Coordinate Plane

Points, Lines, and Equations

III.3.c: Graph linear equations using ordered pairs or tables.

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Solving Equations by Graphing Each Side

IV.1.a: Convert units of measure within the same system.

IV.1.c: Solve problems using scale factors.

IV.2.a: Derive formulas for and calculate surface area and volume of right prisms and cylinders using appropriate units.

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

IV.2.b: Explain that if a scale factor describes how corresponding lengths in two similar objects are related, then the square of the scale factor describes how corresponding areas are related and the cube of the scale factor describes how corresponding volumes are related.

IV.2.c: Find lengths, areas, and volumes of similar figures, using the scale factor.

Dilations

Perimeters and Areas of Similar Figures

Similar Figures

V.1.b: Calculate the probability of an event or sequence of events with and without replacement using models.

Independent and Dependent Events

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

V.1.d: Make approximate predictions using theoretical probability and proportions.

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

V.1.e: Collect and interpret data to show that as the number of trials increases, experimental probability approaches the theoretical probability.

V.2.a: Formulate questions that can be answered through data collection and analysis.

Correlation

Describing Data Using Statistics

Movie Reviewer (Mean and Median)

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

Time Estimation

V.2.d: Compute the mean and median of a numerical characteristic and relate these values to the histogram of the data.

Populations and Samples

Real-Time Histogram

Sight vs. Sound Reactions

Stem-and-Leaf Plots

V.2.e: Use graphical representations and numerical summaries to answer questions and interpret data.

Graphing Skills

Reaction Time 2 (Graphs and Statistics)

Stem-and-Leaf Plots

Correlation last revised: 5/24/2018