Counting Back
http://illuminations.nctm.org/LessonDetail.aspx?ID=L74
A lesson plan for Grades K–2 Mathematics
This lesson, one of a seven-part unit from Illuminations titled “How Many More Fish?,” students count to compare plates of fish-shaped crackers then record the comparison in vertical and horizontal format. They apply their skills of reasoning and problem solving during this lesson in several ways.
North Carolina Curriculum Alignment
Mathematics (2004)
Grade 1
- Goal 1: Number and Operations - The learner will read, write, and model whole numbers through 99 and compute with whole numbers.
- Objective 1.01: Develop number sense for whole numbers through 99.
- Connect the model, number word, and number using a variety of representations.
- Use efficient strategies to count the number of objects in a set.
- Read and write numbers.
- Compare and order sets and numbers.
- Build understanding of place value (ones, tens).
- Estimate quantities fewer than or equal to 100.
- Recognize equivalence in sets and numbers 1-99.
- Objective 1.03: Develop fluency with single-digit addition and corresponding differences using strategies such as modeling, composing and decomposing quantities, using doubles, and making tens.
- Objective 1.01: Develop number sense for whole numbers through 99.
- Goal 4: Data Analysis and Probability - The learner will understand and use data and simple probability concepts.
- Objective 4.01: Collect, organize, describe and display data using line plots and tallies.
Grade 2
- Goal 1: Number and Operations - The learner will read, write, model, and compute with whole numbers through 999.
- Objective 1.01: Develop number sense for whole numbers through 999.
- Connect model, number word, and number using a variety of representations.
- Read and write numbers.
- Compare and order.
- Rename.
- Estimate.
- Use a variety of models to build understanding of place value (ones, tens, hundreds).
- Objective 1.04: Develop fluency with multi-digit addition and subtraction through 999 using multiple strategies.
- Strategies for adding and subtracting numbers.
- Estimation of sums and differences in appropriate situations.
- Relationships between operations.
- Objective 1.05: Create and solve problems using strategies such as modeling, composing and decomposing quantities, using doubles, and making tens and hundreds.
- Objective 1.01: Develop number sense for whole numbers through 999.
- Goal 4: Data Analysis and Probability - The learner will understand and use data and simple probability concepts.
- Objective 4.01: Collect, organize, describe and display data using Venn diagrams (three sets) and pictographs where symbols represent multiple units (2's, 5's, 10's).
Kindergarten
- Goal 1: Number and Operations - The learner will recognize, model, and write whole numbers through 30.
- Objective 1.01: Develop number sense for whole numbers through 30.
- Connect model, number word (orally), and number, using a variety of representations.
- Count objects in a set.
- Read and write numerals.
- Compare and order sets and numbers.
- Use ordinals (1st-10th).
- Estimate quantities fewer than or equal to 10.
- Recognize equivalence in sets and numbers 1-10.
- Objective 1.03: Solve problems and share solutions to problems in small groups.
- Objective 1.01: Develop number sense for whole numbers through 30.
- Goal 4: Data Analysis and Probability - The learner will collect, organize and display data.
- Objective 4.01: Collect and organize data as a group activity.
- Objective 4.02: Display and describe data with concrete and pictorial graphs as a group activity.



