(Crabby the keeper of the standards Crab)
Number Theory
Activity 1: All about Multiplication
- Standard – 2.2.5.B: Multiply and divide single- and double digit- numbers; add and subtract fractions and mixed numbers; add, subtract, multiply and divide decimals.
- Assessment Anchor – M5.A.2: Understand the meanings of operations, use operations and understand how they relate to each other.
- Anchor Descriptor – M5.A.2.1: Solve problems involving decimals, fractions, fractions and/or whole numbers (straight computation or word problems).
- Eligible Content: M5.A.2.1.1: Solve problems involving addition, subtraction, multiplication, and division of whole numbers (multipliers up to 2 digits – divisors one digit) and decimals including money (answer through hundredths – no divisors with decimals).
Activity 2: The Product Game
- Standard – 2.2.5.B: Multiply and divide single- and double digit- numbers; add and subtract fractions and mixed numbers; add, subtract, multiply and divide decimals.
- Assessment Anchor – M5.A.3: Compute accurately and fluently and make reasonable estimates.
- Anchor Descriptor – M5.A.3.1: Apply estimation strategies to a variety of problems.
- Eligible Content: M5.A.3.2.1: Use addition, subtraction, multiplication, and division to compute accurately without a calculator (multipliers up to 2 digits, single – digit divisors or multiples of 10 – whole numbers through thousands and decimals through hundredths – no divisors with decimals).
Activity 3: Number Invaders
- Standard – 2.1.5.A: Apply number patterns to count and compare values of whole numbers, fractions, and decimals.
- Assessment Anchor –M5.A.1: Demonstrate an understanding of numbers, ways of representing numbers, relationships among numbers and number systems.
- Anchor Descriptor – M5.A.1.6: Apply number theory concepts (i.e., primes, factors, multiples, composites).
- Eligible Content: M5.A.1.6.1: Define/list/identify prime and composite numbers less than or equal to 100.
Activity 4: Cross the Swamp
- Standard – 2.1.5.A: Apply number patterns to count and compare values of whole numbers, fractions, and decimals.
- Assessment Anchor –M5.A.1: Demonstrate an understanding of numbers, ways of representing numbers, relationships among numbers and number systems.
- Anchor Descriptor – M5.A.1.6: Apply number theory concepts (i.e., primes, factors, multiples, composites).
- Eligible Content: M5.A.1.6.1: Define/list/identify prime and composite numbers less than or equal to 100.
Activity 5: Base Ten Blocks
- Standard – 2.1.5.A: Apply number patterns to count and compare values of whole numbers, fractions, and decimals.
- Assessment Anchor –M5.A.1: Demonstrate an understanding of numbers, ways of representing numbers, relationships among numbers and number systems.
- Anchor Descriptor – M5.A.1.6: Apply number theory concepts (i.e., primes, factors, multiples, composites).
- Eligible Content: M5.A.1.6.1: Define/list/identify prime and composite numbers less than or equal to 100.
Measurement
Activity 1: Clock Wise
- Standard – 2.3.5.B: Select and use appropriate instruments and units for measuring quantities to a specified level of accuracy.
- Assessment Anchor – M5.B.2: Apply appropriate techniques, tools and formulas to determine measurements.
- Anchor Descriptor – M5.B.2.2: Solve problems involving length, time, weight (mass), capacity, temperature, perimeter, and/or area.
- Eligible Content: M5.B.2.2.3: Solve problems involving weight, time, temperature, length and capacity (with the same units throughout – limited to 3 digits).
Activity 2: How High
- Standard – 2.3.5.F: Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles.
- Assessment Anchor – M5.B.1: Demonstrate an understanding of measurable attributes of objects and figures, and the units, systems and processes of measurement.
- Anchor Descriptor – M5.B.1.1: Select appropriate units (customary or metric) to measure specific attributes of objects.
Activity 3: Perimeter Explorer
- Standard – 2.3.5.A: Use concrete objects to demonstrate the meaning of measurement quantities (e.g., perimeter, area, weight, capacity).
- Assessment Anchor – M5.B.1: Demonstrate an understanding of measureable attributes of objects, and figures, and units, systems, and processes of measurement.
- Anchor Descriptor – M5.B.1.1: Select appropriate units (customary or metric) to measure specific attributes of objects.
- Eligible Content: M5.B.1.1.1: Select the appropriate unit for measuring weight (mass), capacity, length, perimeter, and area.
Activity 4: Count the Money
- Standard – 2.2.5.D: Estimate results from calculations with basic operations of whole numbers and decimals and check the reasonableness of those estimates.
- Assessment Anchor – M5.A.1: Demonstrate an understanding of numbers, ways of representing numbers, relationships among numbers and number systems.
- Anchor Descriptor – M5.A.1.2: Demonstrate understanding of place value of whole numbers and decimals.
- Eligible Content: M5.A.1.2.1: Match the standard form to the word form of decimal numbers through the hundredths.
Activity 5: Image Tool
- Standard – 2.3.5.F: Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles.
- Assessment Anchor – M5.B.1: Demonstrate an understanding of measurable attributes of objects and figures, and the units, systems and processes of measurement.
- Anchor Descriptor – M5.B.1.1: Select appropriate units (customary or metric) to measure specific attributes of objects.
Geometry
Activity 1: Mirror Tool
- Standard – 2.9.5.B: Predict and describe the result of a translation (slide), rotation (turn), or reflection (flip) of a 2- dimensional shape.
- Assessment Anchor – M5.C.2: Identify and/or apply concepts of transformations or symmetry.
- Anchor Descriptor – M5.C.2.1: Analyze transformations and/or use symmetry to analyze mathematical situations.
- Eligible Content: M5.C.2.1.2: Identify the number of line of symmetry and/or draw all lines of symmetry in a two-dimensional polygon.
Activity 2: Cutting Corners
- Standard – 2.9.5.A: Identify, describe, and define 1-, 2-, 3-dimensional shapes and their related parts, and classify and compare 2- and 3- dimensional shapes on the basis of their properties.
- Assessment Anchor – M5.C.1: Analyze characteristics and properties of two- and three- dimensional geometric shapes and demonstrate understanding of geometric relationships.
- Assessment Descriptor – M5.C.1.2: Represent and/or use properties of lines, line segments, rays, points and planes.
- Eligible Content – M5.C.1.2.1: Identify, draw and/or label points, lines, line segments and rays.
Activity 3: Tangrams
- Standard – 2.9.5.A: Identify, describe, and define 1-, 2-, 3-dimensional shapes and their related parts, and classify and compare 2- and 3- dimensional shapes on the basis of their properties.
- Assessment Anchor – M5.C.1: Analyze characteristics and properties of two- and three- dimensional geometric shapes and demonstrate understanding of geometric relationships.
- Assessment Descriptor – M5.C.1.1: Define and/or use basic properties of quadrilaterals (parallelograms, squares, rectangles, trapezoids, rhombi), triangles, circles, pyramids, cubes, and/or prisms.
- Eligible Content – M5.C.1.1.1: Identify, and/or classify cubes, rectangular prisms or pyramids using faces, vertices and edges.
Activity 4: Geoboards
- Standard – 2.9.5.A: Identify, describe, and define 1-, 2-, 3-dimensional shapes and their related parts, and classify and compare 2- and 3- dimensional shapes on the basis of their properties.
- Assessment Anchor – M5.C.1: Analyze characteristics and properties of two- and three- dimensional geometric shapes and demonstrate understanding of geometric relationships.
- Assessment Descriptor – M5.C.1.1: Define and/or use basic properties of quadrilaterals (parallelograms, squares, rectangles, trapezoids, rhombi), triangles, circles, pyramids, cubes, and/or prisms.
- Eligible Content – M5.C.1.1.1: Identify, and/or classify cubes, rectangular prisms or pyramids using faces, vertices and edges.
Activity 5: Maze Game
- Standard – 2.9.5.A: Identify, describe, and define 1-, 2-, 3-dimensional shapes and their related parts, and classify and compare 2- and 3- dimensional shapes on the basis of their properties.
- Assessment Anchor – M5.C.1: Analyze characteristics and properties of two- and three- dimensional geometric shapes and demonstrate understanding of geometric relationships.
- Assessment Descriptor – M5.C.1.2: Represent and/or use properties of lines, line segments, rays, points and planes.
- Eligible Content – M5.C.1.2.1: Identify, draw and/or label points, lines, line segments and rays.
Data Analysis and Probability
Activity 1: Bar Graph
- Standard – 2.6.5.B: Use pictures, tallies, tables, charts, bar graphs, line graphs, diagrams, and graphs to organize, display, and analyze data.
- Assessment Anchor – M5.E.1: Formulate or answer questions that can be addressed with data and/or organize, display, interpret or analyze data.
- Anchor Descriptor – M5.E.1.1: Organize, display and or//interpret data using pictographs, tallies, tables, charts, line, bar graphs.
- Eligible Content: M5.E.1.1.1: Display and/or interpret data shown in tallies, tables, charts, pictographs, bar graphs, line graphs and using a title, appropriate scale, and labels. A grid will be provided to display data on bar graphs or line graphs.
Activity 2: Stem-and-Leaf Plot
- Standard – 2.6.5.B: Use pictures, tallies, tables, charts, bar graphs, line graphs, diagrams, and graphs to organize, display, and analyze data.
- Assessment Anchor – M5.E.1: Formulate or answer questions that can be addressed with data and/or organize, display, interpret or analyze data.
- Anchor Descriptor – M5.E.1.1: Organize, display and or//interpret data using pictographs, tallies, tables, charts, line, bar graphs.
- Eligible Content: M5.E.1.1.1: Display and/or interpret data shown in tallies, tables, charts, pictographs, bar graphs, line graphs and using a title, appropriate scale, and labels. A grid will be provided to display data on bar graphs or line graphs.
Activity 3: Coin Toss
- Standard – 2.7.5.A: Predict and calculate the likelihood of simple events.
- Assessment Anchor – M5.E.3: Understand and/or apply basic concepts of probability or outcomes.
- Anchor Descriptor – M5.E.3.1: Predict or determine all possible combinations, outcomes, and/or calculate the probability of a simple event.
- Eligible Content: M5:E.3.1.2: Determine the probability of an outcome (e.g., a coin toss, a roll of a number cube) and express as a fraction without reduction.
Activity 4: Adjustable Spinner
- Standard – 2.7.5.A: Predict and calculate the likelihood of simple events.
- Assessment Anchor – M5.E.3: Understand and/or apply basic concepts of probability or outcomes.
- Anchor Descriptor – M5.E.3.1: Predict or determine all possible combinations, outcomes, and/or calculate the probability of a simple event.
- Eligible Content: M5.E.3.1.1: Predict or determine whether some outcomes are certain, more likely, less likely, equally likely, or impossible (information could be represented by pictograph, bar graph, charts, tables and/or spinners).
Activity 5: Box Model
- Standard – 2.7.5.A: Predict and calculate the likelihood of simple events.
- Assessment Anchor – M5.E.3: Understand and/or apply basic concepts of probability or outcomes.
- Anchor Descriptor – M5.E.3.1: Predict or determine all possible combinations, outcomes, and/or calculate the probability of a simple event.
- Eligible Content: M5.E.3.1.1: Predict or determine whether some outcomes are certain, more likely, less likely, equally likely, or impossible (information could be represented by pictograph, bar graph, charts, tables and/or spinners).
Algebra
Activity 1: Algebra Balance Scales
- Standard – 2.8.5.B: Select and use strategies, including concrete objects, to solve number sentences (equations and inequalities) and explain the method of solution.
- Assessment Anchor – M5.D.2: Represent and or analyze mathematical situations using numbers, symbols, words, tables and/or graphs.
- Anchor Descriptor – M5.D.2.1: Select and/or use appropriate strategies, including concrete materials, to solve or represent expressions or number sentences.
- Eligible Content: M5.D.2.1.2: Match a realistic situation to an equation, expression, inequality (<,>,=), table or graph (variable must be isolated, e.g., 17+39=n).
Activity 2: Pan Balance – Shapes
- Standard – 2.8.5.A: Use the concept of equality to demonstrate understanding of the distributive property.
- Assessment Anchor – M5.D.2: Represent and or analyze mathematical situations using numbers, symbols, words, tables and/or graphs.
- Anchor Descriptor – M5.D.2.1: Select and/or use appropriate strategies, including concrete materials, to solve or represent expressions or number sentences.
- Eligible Content: M5.D.2.1.1: Solve for a missing number (blank, question mark, variable) in an equation involving a single operation whole numbers only.
Activity 3: Stop That Creature
- Standard – 2.8.5.A: Use the concept of equality to demonstrate understanding of the distributive property.
- Assessment Anchor – M5.D.2: Represent and or analyze mathematical situations using numbers, symbols, words, tables and/or graphs.
- Anchor Descriptor – M5.D.2.1: Select and/or use appropriate strategies, including concrete materials, to solve or represent expressions or number sentences.
- Eligible Content: M5.D.2.1.1: Solve for a missing number (blank, question mark, variable) in an equation involving a single operation whole numbers only.
Activity 4: Slope Slider
- Standard – 2.8.5.B: Select and use strategies, including concrete objects, to solve number sentences (equations and inequalities) and explain the method of solution.
- Assessment Anchor – M5.D.2: Represent and or analyze mathematical situations using numbers, symbols, words, tables and/or graphs.
- Anchor Descriptor – M5.D.2.1: Select and/or use appropriate strategies, including concrete materials, to solve or represent expressions or number sentences.
- Eligible Content: M5.D.2.1.2: Match a realistic situation to an equation, expression, inequality (<,>,=), table or graph (variable must be isolated, e.g., 17+39=n).
Activity 5: Graph Sketcher
- Standard – 2.8.5.C: Recognize, describe, extend, create, replicate, and form a rule for a variety of patterns, sequences, and relationships verbally, numerically, symbolically, and graphically.
- Assessment Anchor – M5.D.1: Demonstrate and understanding of patterns, relations and functions.
- Anchor Descriptor – M5.D.1.2: Analyze patterns.
- Eligible Content: M5.D.1.2.1: Form a rule based on a given pattern, or illustrate a pattern based on a given rule (+,-, x or ÷ of whole numbers). Pattern must show 3 repetitions.