1: The student will use algebraic methods to describe patterns and simplify algebraic expressions in a variety of contexts.
1.1: Extend and create patterns from tables, graphs, rules and number properties and generalize patterns algebraically (e.g., recursive patterns like the Fibonacci numbers, number sequences, prime and composite numbers).
Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences
Using Tables, Rules and Graphs
1.2: Use substitution and order of operations to simplify and evaluate algebraic expressions (e.g., if x = 5 evaluate 2x + 3).
Order of Operations
2: The student will use numbers and number relationships to solve problems.
2.1: Multiply and divide fractions and mixed numbers to solve problems using a variety of methods.
Dividing Fractions
Dividing Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers
2.2: Convert, compare and order decimals (terminating and nonterminating), fractions and percents using a variety of methods.
Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Rational Numbers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents, Fractions and Decimals
2.3: Estimate solutions to single and multi-step problems using whole numbers, decimals, fractions, and percents and assess whether solutions are reasonable (e.g., 7/8 + 8/9 is about 2, 0.9 + 0.3 is about 1).
Dividing Fractions
Dividing Mixed Numbers
Estimating Sums and Differences
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals
2.5: Simplify numerical expressions with exponents and parentheses using order of operations.
Order of Operations
3: The student will use geometric properties and relationships to recognize, describe and analyze shapes and representations in a variety of contexts.
3.1: Angles
3.1.b: Find the complement and supplement of an angle.
Investigating Angle Theorems - Activity A
3.2: Differentiate between congruent and similar figures.
Constructing Congruent Segments and Angles
3.3: Describe the effect of performing basic transformations on objects and figures in a variety of contexts. (e.g., explore reflection [flip] with mirrors, explore rotation [turn] and translation [slide] by designing the layout of different shapes of floor tile).
Rotations, Reflections and Translations
4: The student will use measurements within the metric and U.S. customary system to solve problems in a variety of contexts.
4.1: Collect data and develop formulas to find the circumference and area of circles (e.g., use string the length of the diameter of various circular lids to approximate the circumference and develop the concept of pi).
Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B
5: The student will use data analysis and statistics to interpret data in a variety of contexts.
5.2: Construct and interpret graphs of statistical data (e.g., explain how different representations lead to different interpretations and may distort information).
Box-and-Whisker Plots
Line Plots
Stem-and-Leaf Plots
5.3: Find the median and mode for a set of data in a variety of contexts.
Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Correlation last revised: 2/10/2015