SC--College- and Career-Ready Standards

1.1.1: Understand that the additive inverse of a number is its opposite and their sum is equal to zero.

Adding and Subtracting Integers

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

1.1.2: Understand that the sum of two rational numbers (p + q) represents a distance from p on the number line equal to |q| where the direction is indicated by the sign of q.

Adding and Subtracting Integers

Adding on the Number Line

Fractions Greater than One (Fraction Tiles)

1.1.3: Translate between the subtraction of rational numbers and addition using the additive inverse, p − q = p + (−q).

Adding and Subtracting Integers

Adding on the Number Line

Simplifying Algebraic Expressions I

1.1.5: Apply mathematical properties (e.g., commutative, associative, distributive, or the properties of identity and inverse elements) to add and subtract rational numbers.

Adding Fractions (Fraction Tiles)

Adding and Subtracting Integers

Adding on the Number Line

Estimating Sums and Differences

Fractions Greater than One (Fraction Tiles)

Improper Fractions and Mixed Numbers

Sums and Differences with Decimals

1.2.2: Understand sign rules for multiplying rational numbers.

Adding and Subtracting Integers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

1.2.3: Understand sign rules for dividing rational numbers and that a quotient of integers (with a non-zero divisor) is a rational number.

Dividing Fractions

Dividing Mixed Numbers

1.2.4: Apply mathematical properties (e.g., commutative, associative, distributive, or the properties of identity and inverse elements) to multiply and divide rational numbers.

Adding and Subtracting Integers

Dividing Fractions

Dividing Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

1.2.5: Understand that some rational numbers can be written as integers and all rational numbers can be written as fractions or decimal numbers that terminate or repeat.

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

Percents, Fractions, and Decimals

Adding Fractions (Fraction Tiles)

Adding and Subtracting Integers

Adding on the Number Line

Dividing Fractions

Dividing Mixed Numbers

Estimating Population Size

Estimating Sums and Differences

Fractions Greater than One (Fraction Tiles)

Improper Fractions and Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

1.4.1: Interpret statements using less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), and equal to (=) as relative locations on the number line.

Comparing and Ordering Decimals

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

1.4.2: Use concepts of equality and inequality to write and explain real-world and mathematical situations.

Absolute Value Equations and Inequalities

Comparing and Ordering Decimals

Linear Functions

Linear Inequalities in Two Variables

Solving Equations on the Number Line

Using Algebraic Equations

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

Percents, Fractions, and Decimals

2.2.1: Determine when two quantities are in a proportional relationship.

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

Geometric Probability

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

Percents and Proportions

Proportions and Common Multipliers

2.2.2: Recognize or compute the constant of proportionality.

Beam to Moon (Ratios and Proportions)

Dilations

Direct and Inverse Variation

2.2.3: Understand that the constant of proportionality is the unit rate.

Beam to Moon (Ratios and Proportions)

Dilations

Direct and Inverse Variation

2.2.4: Use equations to model proportional relationships.

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

Geometric Probability

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

Proportions and Common Multipliers

2.2.5: Investigate the graph of a proportional relationship and explain the meaning of specific points (e.g., origin, unit rate) in the context of the situation.

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 and Proportions

Percents, Fractions, and Decimals

Proportions and Common Multipliers

Real-Time Histogram

Road Trip (Problem Solving)

Time Estimation

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Simplifying Algebraic Expressions II

Solving Algebraic Equations II

Exponents and Power Rules

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

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

3.4.2: Write and solve multi-step linear equations that include the use of the distributive property and combining like terms. Exclude equations that contain variables on both sides.

Solving Equations by Graphing Each Side

3.4.3: Write and solve two-step linear inequalities. Graph the solution set on a number line and interpret its meaning.

Absolute Value Equations and Inequalities

Comparing and Ordering Decimals

Compound Inequalities

Linear Inequalities in Two Variables

Rational Numbers, Opposites, and Absolute Values

Solving Linear Inequalities in One Variable

3.4.4: Identify and justify the steps for solving multi-step linear equations and two-step linear inequalities.

Modeling and Solving Two-Step Equations

Solving Algebraic Equations II

Solving Two-Step Equations

Exponents and Power Rules

Simplifying Algebraic Expressions II

4.4.2: Understand that the constant of proportionality between the circumference and diameter is equivalent to π.

Circumference and Area of Circles

4.4.3: Explore the relationship between circumference and area using a visual model.

Circumference and Area of Circles

4.4.4: Use the formulas for circumference and area of circles appropriately to solve real-world and mathematical problems.

Circumference and Area of Circles

4.6.1: Understand that the concept of area is applied to two-dimensional figures such as triangles, quadrilaterals, and polygons.

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Circumference and Area of Circles

Classifying Quadrilaterals

Concurrent Lines, Medians, and Altitudes

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

Polygon Angle Sum

Special Parallelograms

Triangle Angle Sum

Triangle Inequalities

4.6.2: Understand that the concepts of volume and surface area are applied to three-dimensional figures such as cubes, right rectangular prisms, and right triangular prisms.

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

4.6.3: Decompose cubes, right rectangular prisms, and right triangular prisms into rectangles and triangles to derive the formulas for volume and surface area.

Surface and Lateral Areas of Prisms and Cylinders

4.6.4: Use the formulas for area, volume, and surface area appropriately.

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Circumference and Area of Circles

Perimeter and Area of Rectangles

Prisms and Cylinders

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

5.1.1: Understand that a sample is a subset of a population and both possess the same characteristics.

Polling: City

Polling: Neighborhood

Populations and Samples

5.1.2: Differentiate between random and non-random sampling.

Polling: City

Polling: Neighborhood

Populations and Samples

5.1.3: Understand that generalizations from a sample are valid only if the sample is representative of the population.

5.1.4: Understand that random sampling is used to gather a representative sample and supports valid inferences about the population.

Polling: City

Polling: Neighborhood

Polling: City

Polling: Neighborhood

Populations and Samples

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

Box-and-Whisker Plots

Polling: City

Populations and Samples

5.5.1: Determine probabilities of simple events.

Theoretical and Experimental Probability

5.5.4: Understand that a probability closer to 1 indicates a likely chance event.

Spin the Big Wheel! (Probability)

5.5.5: Understand that a probability close to ½ indicates that a chance event is neither likely nor unlikely.

Probability Simulations

Spin the Big Wheel! (Probability)

5.5.6: Understand that a probability closer to 0 indicates an unlikely chance event.

Spin the Big Wheel! (Probability)

5.6.1: Determine approximate outcomes using theoretical probability.

Geometric Probability

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

5.6.2: Perform experiments that model theoretical probability.

Independent and Dependent Events

5.6.3: Compare theoretical and experimental probabilities.

Geometric Probability

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

5.7.3: Perform experiments to test the validity of probability models.

5.8.1: Understand that the probability of a compound event is between 0 and 1.

Independent and Dependent Events

5.8.2: Identify the outcomes in a sample space using organized lists, tables, and tree diagrams.

5.8.3: Determine probabilities of compound events using organized lists, tables, and tree diagrams.

5.8.4: Design and use simulations to collect data and determine probabilities.

Geometric Probability

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

5.8.5: Compare theoretical and experimental probabilities for compound events.

Independent and Dependent Events

Theoretical and Experimental Probability

Correlation last revised: 1/5/2017

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