Jakarta International School - Stutz family
|[pic]Jakarta International School |
|Unit Name: Rates, Ratios, and Proportions | |
|Duration: Week 22, 3 weeks | |
|Grade/Subject: 6 / Mathematics | |
|Summary: In grade 6, students will build on their previous knowledge of fractions to develop an understanding of ratios, rates, and proportions. Students will |
|focus on understanding how ratios, rates, and proportions are connected to multiplication and division. The ultimate goal is for students to be able to use ratio |
|and rate to describe relationships, and use equivalent ratios (proportions) to solve a variety of problems. |
|LEARNING FOCUS |
|Standards and Benchmarks (Learning Goals) |
| |
|NCTM: Curriculum Focal Points, NCTM: Grade 6, Focal Points |
|Number and Operations: Connecting ratio and rate to multiplication and division |
|Students use simple reasoning about multiplication and division to solve ratio and rate problems |
|By viewing equivalent ratios and rates as deriving from, and extending, pairs of rows (or columns) in the multiplication table, and by analyzing simple drawings |
|that indicate the relative sizes of quantities, students extend whole number multiplication and division to ratios and rates. |
|Thus, they expand the repertoire of problems that they can solve by using multiplication and division, and they build on their understanding of fractions to |
|understand ratios. |
|Students solve a wide variety of problems involving ratios and rates. |
|NCTM: Curriculum Focal Points, NCTM: Grade 6, Connections to the Focal Points |
|Number and Operations: |
|They recognize that ratio tables not only derive from rows in the multiplication table but also connect with equivalent fractions. |
|Students distinguish multiplicative comparisons from additive comparisons. |
|Enduring Understandings |Essential Questions |
|Rates, ratios, and proportions are simply relationships between two units. |How does comparing quantities describe the relationship between them? |
|Rates, ratio, and proportions can be represented by fractions. |How can change be described mathematically? |
|Shapes and objects can be transformed using scale factors, which are | |
|mathematically constructed by applying ratios and proportions. | |
|Knowledge |Skills |
|Students will be able to |L.1. |
|Determine the difference between ratios and rates |Textbook – 8.1 |
|Write ratios and equivalent ratios |Standard. |
|Identify the difference between rates, equivalent rates, and unit rates |Write ratios and equivalent ratios. |
|Write and solve proportions |Advanced. |
|Use proportions to find measures of objects |Splitting quantities in a given ratio. |
| |Highly Advanced. |
| |Changing ratios. |
| |Combining ratios. |
| | |
| | |
| |L.2. |
| |Textbook – 8.2 |
| |Standard. |
| |Write rates, equivalent rates, and unit rates. |
| |Advanced/Highly Advanced. |
| |More complicated unit conversions. |
| | |
| |L.3. |
| |Textbook – 8.3 |
| |Standard. |
| |Write and solve proportions. |
| |Advanced. |
| |More complicated unit conversions. |
| | |
| |L.4. |
| |Textbook – 8.4 |
| |Standard. |
| |Use proportions to find measures of objects. |
| |Use scale drawings to find actual lengths. |
| |Highly Advanced. |
| |Use algebra to solve proportions. |
|ASSESSMENT |
|Pre and Post Test |
|LEARNING PLAN |
|U5L1. Ratios. (8.1) |
|U5L2. Rates. (8.2) |
|U5L3. Proportions. (8.3) |
|U5L4. Measures and scale drawings. (8.4) |
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