Content Standards
N.1.1: Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line.
Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Integers
Comparing and Ordering Rational Numbers
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Real Number Line - Activity A
Treasure Hunter (Decimals on the Number Line)
N.1.2: Interpret and use ratios in different contexts (e.g., batting averages, miles per hour) to show the relative sizes of two quantities, using appropriate notations (a/b, a to b, a:b).
Part:Part and Part:Whole Ratios
Polling: Neighborhood
N.1.3: Use proportions to solve problems (e.g., determine the value of N if 4/7 = N/21, find the length of a side of a polygon similar to a known polygon). Use cross-multiplication as a method for solving such problems, understanding it as the multiplication of both sides of an equation by a multiplicative inverse.
Beam to Moon (Ratios and Proportions)
N.1.4: Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips.
Percent of Change
Percents and Proportions
Polling: Neighborhood
Simple and Compound Interest
N.2.1: Solve problems involving addition, subtraction, multiplication, and division of positive fractions and explain why a particular operation was used for a given situation.
Adding Fractions (Fraction Tiles)
Dividing Fractions
Dividing Mixed Numbers
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
N.2.2: Explain the meaning of multiplication and division of positive fractions and perform the calculations (e.g., 5/8 รท 15/16 = 5/8 x 16/15 = 2/3).
Dividing Fractions
Dividing Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers
N.2.3: Solve addition, subtraction, multiplication, and division problems, including those arising in concrete situations, that use positive and negative integers and combinations of these operations.
Adding Real Numbers
Adding and Subtracting Integers
Adding and Subtracting Integers with Chips
Real Number Line - Activity A
A.1.1: Write and solve one-step linear equations in one variable.
Modeling One-Step Equations - Activity A
A.1.2: Write and evaluate an algebraic expression for a given situation, using up to three variables.
Using Algebraic Equations
Using Algebraic Expressions
A.1.3: Apply algebraic order of operations and the commutative, associative, and distributive properties to evaluate expressions; and justify each step in the process.
Chocomatic (Multiplication, Arrays, and Area)
A.2.2: Demonstrate an understanding that rate is a measure of one quantity per unit value of another quantity.
A.2.3: Solve problems involving rates, average speed, distance, and time.
A.3.1: Use variables in expressions describing geometric quantities (e.g., P = 2w + 2l, A = 1/2 bh, C = pi d - the formulas for the perimeter of a rectangle, the area of a triangle, and the circumference of a circle, respectively).
Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B
G.1.1: Understand the concept of a constant such as pi; know the formulas for the circumference and area of a circle.
Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B
G.1.2: Know common estimates of pi (3.14; 22/7) and use these values to estimate and calculate the circumference and the area of circles; compare with actual measurements.
Circle: Circumference and Area
Measuring Trees
Perimeter, Circumference, and Area - Activity B
G.1.3: Know and use the formulas for the volume of triangular prisms and cylinders (area of base x height); compare these formulas and explain the similarity between them and the formula for the volume of a rectangular solid.
Balancing Blocks (Volume)
Prisms and Cylinders - Activity A
G.2.1: Identify angles as vertical, adjacent, complementary, or supplementary and provide descriptions of these terms.
Investigating Angle Theorems - Activity A
G.2.2: Use the properties of complementary and supplementary angles and the sum of the angles of a triangle to solve problems involving an unknown angle.
Investigating Angle Theorems - Activity A
Triangle Angle Sum - Activity A
G.2.3: Draw quadrilaterals and triangles from given information about them (e.g., a quadrilateral having equal sides but no right angles, a right isosceles triangle).
S.1.1: Compute the range, mean, median, and mode of data sets.
Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
S.1.2: Understand how additional data added to data sets may affect these computations of measures of central tendency.
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
S.1.3: Understand how the inclusion or exclusion of outliers affects measures of central tendency.
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
S.1.4: Know why a specific measure of central tendency (mean, median, mode) provides the most useful information in a given context.
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Movie Reviewer (Mean and Median)
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
S.2.1: Compare different samples of a population with the data from the entire population and identify a situation in which it makes sense to use a sample.
S.2.2: Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling) and which method makes a sample more representative for a population.
Mascot Election (Pictographs and Bar Graphs)
Polling: Neighborhood
S.2.3: Analyze data displays and explain why the way in which the question was asked might have influenced the results obtained and why the way in which the results were displayed might have influenced the conclusions reached.
Box-and-Whisker Plots
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
S.2.4: Identify data that represent sampling errors and explain why the sample (and the display) might be biased.
S.2.5: Identify claims based on statistical data and, in simple cases, evaluate the validity of the claims.
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
S.3.1: Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome.
Compound Independent Events
Compound Independent and Dependent Events
Permutations and Combinations
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability
S.3.3: Represent probabilities as ratios, proportions, decimals between 0 and 1, and percentages between 0 and 100 and verify that the probabilities computed are reasonable; know that if P is the probability of an event, 1 - P is the probability of an event not occurring.
Probability Simulations
Theoretical and Experimental Probability
S.3.4: Understand that the probability of either of two disjoint events occurring is the sum of the two individual probabilities and that the probability of one event following another, in independent trials, is the product of the two probabilities.
Spin the Big Wheel! (Probability)
S.3.5: Understand the difference between independent and dependent events.
Compound Independent Events
Compound Independent and Dependent Events
Correlation last revised: 9/11/2014