Milwaukee Public Schools Curriculum Guide - Grade 5 Everyday Mathematics2ns Quarter
Everyday Mathematics
Grade 5
2007–2008 Mathematics Curriculum Guides
Wisconsin Mathematics Standard / MPSLearning Target / Wisconsin Assessment
Descriptors for Mathematics
(For Beginning Grade 6) / Curriculum
Throughout The Year / A. Mathematical Processes / Note: Mathematical processes need to be embedded in all mathematical strands throughout the school year. Math processes are assessed on the WKCE-CRT and reported as a separate proficiency area. For example, students are asked to provide written justifications and explanations, pose problems, and represent concepts. / 1)Reasoning: Use reasoning and logic to:
• Perceive patterns • Identify relationships
• Formulate questions • Pose problems
• Make conjectures • Justify strategies
• Test reasonableness of results
2)Communication: Communicate mathematical ideas and reasoning using the vocabulary of mathematics in a variety of ways (e.g., using words, numbers, symbols, pictures, charts, tables, diagrams, graphs, and models).
3)Connections: Connect mathematics to the real world as well as within
mathematics.
4)Representations: Create and use representations to organize, record, and communicate mathematical ideas.
5)Problem Solving: Solve and analyze routine and non-routine problems.
Time / Curricular Connections
Units/Lessons / MPS Learning Targets / Wisconsin State Framework Assessment Descriptors / Connections
District Model CABS
November
13 teaching days
November
13 teaching days
December
15 teaching days
January
15 teaching days
/ Take time to complete any lessons that have not yet been completed.
Unit 3 Geometry Explorations and the American Tour
3.1 Introduction to the American Tour (NO&R, Stat/Prob)
3.2 American Tour: Population Data (NO&R, Stat/Prob)
Unit 3 Geometry Explorations and the American Tour
3.3 Exploring Angle Measures (M)
3.4 Using a Protractor (G, M)
3.5 Using a Compass (G, M)
3.6 Congruent Triangles (G, M)
3.7 Properties of Polygons (G)
3.8 Regular Tessellations (G, M)
Unit 3 Geometry Explorations and the American Tour
3.9 Angles of Polygons (G, M, Stats/Prob)
3.10 Solving problems using the Geometry Template (G, M)
3.11 Progress Check 3
Unit 4 Division
4.1 Division Facts and Extensions (NO&R)
4.2 The Partial-Quotients Division Algorithm (NO&R)
4.3 American Tour: Finding Distances on a Map (NO&R, M, AR)
4.4 Partial-Quotients Algorithm Strategies (NO&R)
4.5 Division of Decimals (NO&R)
4.6 Interpreting the Remainder (NO&R, AR)
4.7 Skills Review with First to 100 (NO&R, AR)
4.8 Progress Check 4 (NO&R)
Unit 5 Fractions, Decimals, and Percents
5.1 Fraction Review (NO&R)
5.2 Mixed Numbers (NO&R)
5.3 Comparing and Ordering Fractions (NO&R)
5.4 Two Rules for Finding Equivalent Fractions (NO&R)
5.5 Fractions and Decimals: Part 1 (NO&R)
5.6 Fractions and Decimals: Part 2 (NO&R)
5.7 Fractions and Decimals: Part 3 (NO&R)
5.8 Using a Calculator to Convert Fractions to Percents (NO&R)
5.9 Bar and Circle Graphs
(NO&R, Stats/Prob)
5.10 The Percent Circle: Reading Circle Graphs (NO&R, M, Stats/Prob) / Number Operations and Relationships #2
Generate and represent equivalent forms of commonly used fractions, decimals, and percents; estimate with benchmarks; and use strategies to compare, add, and subtract fractions and decimals with and without context. (3.1, 3.2)
Geometry #3
Describe, construct, and classify polygons and polyhedrons using properties (e.g., angles, lines of symmetry, parallel lines, similarity) of plane and coordinate geometry. (3.3 3.4, 3.5, 3.7)
Geometry #4
Evaluate the results of transformations from rigid motions and movement between polyhedra and nets, and describe three-dimensional figures from multiple perspectives.(3.6, 3.8)
Measurement #5
Compare measurement attributes and elapsed time, explain estimates, selection of unit, and conversions of measures, and determine measurements (e.g., area, size of angles, elapsed time) with tools and scales to specified degrees of accuracy. (3.3, 3.4, 3.5, 3.6, 3.7, 3.8)
Statistics and Probability #6
Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (3.1, 3.2)
Number Operations and Relationships #1
Pose real-world problems, and use strategies, including number theory concepts and place value, to compare numbers, make estimates, and solve single and multi-step word problems.
Geometry #3
Describe, construct, and classify polygons and polyhedrons using properties (e.g., angles, lines of symmetry, parallel lines, similarity) of plane and coordinate geometry. (3.9, 3.10, 3.11)
Measurement #5
Compare measurement attributes and elapsed time, explain estimates, selection of unit, and conversions of measures, and determine measurements (e.g., area, size of angles, elapsed time) with tools and scales to specified degrees of accuracy. (3.9, 3.10)
Number Operations and Relationships #2
Generate and represent equivalent forms of commonly used fractions, decimals, and percents; estimate with benchmarks; and use strategies to compare, add, and subtract fractions and decimals with and without context. (5.1, 5.2, 5.3, 5.4, 5.5, 5.6. 5.7, 5.8, 5.9, 5.10)
Statistics and Probability #6
Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (5.9, 5.10) / Number Operations and Relationships
B.a:2 Recognize and apply place-value concepts to whole numbers less than 10,000,000. (3.2)
B.a: 12 Identify and represent equivalence between fractions, percents, and decimals. 3.1)
B.b:13 Use all operations in everyday situations to solve single or multi-step word problems. (3.2)
Geometry
C.a:3 Classify plane figures by characteristics of angles (acute, obtuse, and right) and describe rays found in open-angle situations (3.3, 3.4, 3.5, 3.6, 3.7)
C.b:7 Use slides, flips, and turns on figures. Identify congruent shapes using figures that have been manipulated by one or two motions (slides, flips, and turns. (3.8)
Measurement
D.b:5 Determine angle measurement to nearest five degrees using a protractor. (3.3, 3.4, 3.6)
D.b:6 Read and interpret measuring instruments to determine the measurement of objects with standard units
(U.S. customary). (3.3, 3.4, 3.5)
Statistics and Probability
E.a:3 Draw reasonable conclusions based on contextual data. (3.1)
E.a:4 Use data to predict outcomes or trends from graphs and tables.(3.1)
E.a:5 Extract, interpret, and analyze data from single bar graphs, tables and charts, line plots, context, circle graphs, and Venn diagrams.(3.1, 3.2)
Number Operations and Relationships
B.a:4 Identify and use number theory concepts:
- Prime and composite numbers
- Divisibility potential of numbers (divisors1-10, 25)
- Least common multiples through 24
- Greatest common factors through 50
B.b: 13 Use all operations in everyday situations to solve single or multi-step word problems. (4.1, 4.2, 4.4, 4.5, 4.6, 4,7, 4.8)
B.b: 14 Solve three and four-digit addition and subtraction with regrouping, multiplication of three-digit by two-digit numbers, division with single-digit divisors and four-digit dividends with two-step or mixed operation problems. (4.1, 4.2, 4.4, 4.5, 4.6, 4,7, 4.8)
B.b: 15 Compute with decimals in the context of money and make change. (4.5)
B.b: 16 Solve problems using basic multiplication and division facts. (4.1, 4.2, 4.4, 4.5, 4.6, 4,7, 4.8)
B.b: 20 Determine reasonableness of answers. (4.1, 4.2, 4.4, 4.5, 4.6, 4,7, 4.8)
Geometry
C.a:3 Classify plane figures by characteristics of angles (acute, obtuse, and right) and describe rays found in open-angle situations (3.9, 3.10, 3.11)
Measurement
D.b:5 Determine angle measurement to nearest five degrees using a protractor. (3.9, 3.10, 3.11)
D.b:6 Read and interpret measuring instruments to determine the measurement of objects with standard units
(U.S. customary). (3.9, 3.10, 3.11)
Number Operations and Relationships
B.a: 9 Read, write, identify, order, and compare mixed fractions. (5.1, 5.2, 5.3)
B.a: 10 Represent fractions using numbers, pictures, and number lines. (5.1, 5.2, 5.3, 5.9, 5.10)
B.a: 11 Rename improper fractions to mixed numbers in lowest terms. (5.5, 5.6)
B.a: 12 Identify and represent equivalence between fractions, percents, and decimals. (5.7, 5.8)
B.a: 17 Rename improper fractions. (5.2, 5.5, 5.6)
B.a: 19 Estimate using basic whole number operations, benchmark fractions, and benchmark decimals. (5.1, 5.2, 5.3)
B.a: 20 Determine reasonableness of answers (5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.9, 5.10)
Statistics and Probability
E.a:5 Extract, interpret, and analyze data from single bar graphs, tables and charts, line plots, context, circle graphs, and Venn diagrams. (5.9, 5.10) / MPS District Model CABS
Geometry #4
Measurement #9
MPS District Model CABS
Number Operations and Relationships #2, #3
MPS District Model CABS
Number Operations and Relationships
#10a, #10b
1
Curriculum Guide Everyday Math – Grade 5 Developed by the Milwaukee Mathematics Partnership with support
1st Quarterby the National Science Foundation under Grant No. 0314898.
Version 2.0