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 ax2+bx+c
Modeling the Factorization of x2+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