Intermediate/Middle Grades - Beads under the clouds
This lesson is designed to help you assess how well students are able to identify patterns (both linear and exponential) in a realistic context. In particular this lesson aims to identify and help students that have difficulty:
|
Grades 4-6 - Where are the Cookies?
This problem solving lesson is intended to help you assess how well students are able to use fractions in a problem solving context. In particular this lesson aims to identify and help students with difficulties:
|
Bargain Shopping - draft FAL adapted from Colorado
This instructional task helps assess how well students:
• Find percent and fractional discounts.
• Use percent and fraction models to solve problems.
This instructional task emphasizes the following Standards for Mathematical Practice: 1. Make sense of problems and persevere in solving them; 2. Reason abstractly and quantitatively; 4. Model with mathematics.
This instructional task also asks students to select and apply mathematical content from the Common Core State Standards: 6.RP.3: Use ratio and rate reasoning to solve real-world and mathematical problems (e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations). Find percent and fractional discounts. 6.RP.3a: Find percents of quantities as a rate per 100; solve problems involving finding the whole, given a part and the percent.
• Find percent and fractional discounts.
• Use percent and fraction models to solve problems.
This instructional task emphasizes the following Standards for Mathematical Practice: 1. Make sense of problems and persevere in solving them; 2. Reason abstractly and quantitatively; 4. Model with mathematics.
This instructional task also asks students to select and apply mathematical content from the Common Core State Standards: 6.RP.3: Use ratio and rate reasoning to solve real-world and mathematical problems (e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations). Find percent and fractional discounts. 6.RP.3a: Find percents of quantities as a rate per 100; solve problems involving finding the whole, given a part and the percent.
Orange Juice Problem - draft FAL based on the Connected Math Orange Juice task
Middle School Problem Solving FAL This lesson is intended to help you assess how well students are able to reason proportionally in a realistic context: the recipe that will result in a stronger orange taste. In particular, this unit
aims to identify and help students who have difficulties with:
This lesson asks students to select and apply mathematical content from across the grades, including the content standards: 6-RP: Understand ratio concepts and use ratio reasoning to solve problems 7-RP: Analyze proportional relationships and use them to solve real-world and mathematical problems
aims to identify and help students who have difficulties with:
- Choosing an appropriate, often informal, strategy to solve proportions.
- Seeing how quantities vary together and are able to see how the variation in one coincides with the variation in another.
- Recognizing ratios as distinct entities representing a relationship different from the quantities they compare.
This lesson asks students to select and apply mathematical content from across the grades, including the content standards: 6-RP: Understand ratio concepts and use ratio reasoning to solve problems 7-RP: Analyze proportional relationships and use them to solve real-world and mathematical problems
Integer Game Spinners - draft FAL using theoretical & experimental probability
- This lesson is intended to help you assess how well students are able to use integer operations as
well as theoretical probability models and experimental frequencies. In particular this lesson
aims to identify and help students with difficulties:
This lesson involves mathematical content in the standards from across the grades, with emphasis on: This lesson unit is intended to help you assess how well students are able to: 7.NS Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers 7.SP Investigate chance processes and develop, use, and evaluate probability models
well as theoretical probability models and experimental frequencies. In particular this lesson
aims to identify and help students with difficulties:
- Adding and multiplying integers
- Choosing an appropriate, systematic way to determine & organize possible outcomes in a probability model
Comparing theoretical and experimental probabilities
This lesson involves mathematical content in the standards from across the grades, with emphasis on: This lesson unit is intended to help you assess how well students are able to: 7.NS Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers 7.SP Investigate chance processes and develop, use, and evaluate probability models
Kenton Co KY Tasks - draft middle school FALs used in a Pilot district
Summing Consecutive Numbers - draft HS FAL
This lesson unit is intended to help you assess how well students are able to: Make and investigate mathematical conjectures, Explore properties of numbers, Express mathematical arguments This lesson involves a range of mathematical practices from the standards, with emphasis on: 1. Make sense of problems and persevere in solving them 2.Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 6. Attend to precision 7.Look for and make use of structure 8.Look for and express regularity in repeated reasoning This lesson asks students to select and apply mathematical content from across the grades, including the content standards: A.SSE Seeing Structure in Expressions A.CED Creating Equations
Student work for this task can be found here: Student work samples A spreadsheet of possible sums can be found here: Spreadsheet
Student work for this task can be found here: Student work samples A spreadsheet of possible sums can be found here: Spreadsheet