A: Patterns and functional relationships can be represented and analyzed using a variety of strategies, tools and technologies.
A.1: Extend and compare numerical and geometric sequences and classify patterns as growing or repeating, e.g. 2, 4, 8, _, _, grows and the following sequence repeats:
Function Machines 1 (Functions and Tables)
Pattern Finder
Pattern Flip (Patterns)
A.2: Develop and test generalizations based on observable patterns and relationships and describe the rules for number patterns using equations, e.g., in this sequence 1, 6, 16, 36 ?, to get the next number the current number can be doubled and four added to the product.
Pattern Finder
Pattern Flip (Patterns)
A.3: Describe mathematical relationships and situations, involving ratios and computation of whole numbers, in all four operations with using symbols, number sentences and equations. If ___ = ___ Then ___ = ___
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
A.4: Represent possible values by using symbols, e.g., variables, to represent quantities in expressions and number sentences. Use number sentences (equations) to model and solve word problems.
Number Line Frog Hop (Addition and Subtraction)
A.5: Solve problems and demonstrate an understanding of equivalence in mathematical situations that reflect the commutative and associative properties of addition and multiplication of whole numbers and the distributive property.
Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
N: Quantitative relationships can be expressed numerically in multiple ways in order to make connections and simplify calculations using a variety of strategies, tools and technologies.
N.1: Locate, label, compare and order numbers up to 100,000 using place value models, number lines and number patterns (including multiples of 1,000 and 10,000).
Modeling Whole Numbers and Decimals (Base-10 Blocks)
N.2: Extend number patterns to determine 1,000 and 10,000 more and less than a given number in practical situations.
Pattern Flip (Patterns)
N.3: Round whole numbers up to 100,000 using number patterns, number lines, diagrams and place value models.
Rounding Whole Numbers (Number Line)
N.5: Relate multiplication and division to number patterns and models of groups and rectangular arrays.
Chocomatic (Multiplication, Arrays, and Area)
N.6: Identify and define prime and composite numbers through the use of models including rectangular arrays, place value models and pictures.
Chocomatic (Multiplication, Arrays, and Area)
N.7: Construct and use number lines, pictures and models, including rulers, to determine and identify equivalent ratios and fractions.
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)
N.8: Locate, label and estimate (round) fractions with like and unlike denominators of 2, 3, 4, 5, 6, 8 and 10 by constructing and using models, pictures and number lines.
Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)
N.10: Construct and use models, pictures and number lines, including rulers, to identify wholes and parts of a whole (including a part of a group or groups) as simple fractions and mixed numbers.
Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)
N.11: Use models to represent tenths and hundredths and record the representations using equivalent ratio, fraction and decimal notation (1/10, 0.1)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)
N.12: Express a ratio or division problem as a fraction and describe the relationship between the divisor and the remainder written as a fraction. For example: When determining the number of groups of 3 in 14, we say 14 รท 3 = 4 with a remainder of 2 or 4 2/3).
Fraction, Decimal, Percent (Area and Grid Models)
No Alien Left Behind (Division with Remainders)
N.14: Develop and use a variety of computation strategies including place value concepts, number lines and the commutative and associative properties to add and subtract three- and four-digit numbers and money amounts up to $1,000.00.
Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)
N.15: Solve contextual problems involving addition and subtraction of whole numbers using a variety of methods, including writing appropriate number sentences (equations) and explaining the strategies used.
Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)
N.16: Create story problems to match a given number sentence (equation).
Number Line Frog Hop (Addition and Subtraction)
N.17: Recall the multiplication and division facts 1 through 10.
Critter Count (Modeling Multiplication)
N.18: Write multiplication and division story problems involving basic facts and two- and three-digit by one-digit numbers to match a given number sentence and vice versa; solve the problems using strategies that include models and arrays and justify the solutions.
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
N.19: Determine and explain in writing when an estimate is appropriate and whether a particular estimation strategy is reasonable or will result in an overestimate or underestimate involving computation with three- and four- digit numbers and money amounts up to $1,000.
Critter Count (Modeling Multiplication)
Multiplying Decimals (Area Model)
N.20: Use models and pictures to add and subtract fractions with like and unlike denominators of 2, 3, 4, 5, 6, 8 and 10 and match number sentences or equations to the problems.
Adding Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
N.23: Estimate a reasonable answer to simple problems involving fractions, mixed numbers and decimals (tenths).
Adding Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
G: Shapes and structures can be analyzed, visualized, measured and transformed using a variety of strategies, tools and technologies.
G.1: Describe and represent polygons, solids, and other familiar two- and three-dimensional objects.
Classifying Quadrilaterals
G.2: Compare and classify polygons based on relationships such as parallel or perpendicular lines, symmetry and congruence.
Classifying Quadrilaterals
G.5: Analyze geometric reflections (flips), rotations (turns), and translations (slides) of plane figures and describe the relationship to the original figure.
Rock Art (Transformations)
G.6: Use calendars and clocks to solve problems and schedule events involving elapsed time.
Elapsed Time
D: Data can be analyzed to make informed decisions using a variety of strategies, tools and technologies.
D.1: Pose questions and develop a plan to collect data using observations, surveys and experiments to answer the questions.
Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)
D.2: Collect, organize and represent the data that answer the questions using simple circle graphs and broken line graphs.
Elevator Operator (Line Graphs)
Graphing Skills
Prairie Ecosystem
Reaction Time 2 (Graphs and Statistics)
D.3: Discuss, make predictions and write about patterns and trends in categorical and numerical data that have been represented in a variety of ways.
Graphing Skills
Real-Time Histogram
D.4: Determine the range, median, mode and mean of a set of data and describe characteristics of the data set as typical or average based on those determinations.
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
D.5: Conduct probability experiments and express the probability based on possible outcomes, e.g., 8 out of 10 tiles chosen were red.
Spin the Big Wheel! (Probability)
D.6: Determine and describe possible combinations, where order does not matter, e.g., when there is a choice of vanilla (V), chocolate (C) or strawberry (S) ice cream for a two-scoop cone and two different scoops are desired, the possible combinations are CV, CS, or VS.
Estimating Population Size
Spin the Big Wheel! (Probability)
Correlation last revised: 5/9/2018