1.1

1.1 is a knowledge and skills statement. These are the student expectations under it.

• 1.1.A

  apply mathematics to problems arising in everyday life, society, and the workplace

• 1.1.B

  use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and ...

• 1.1.C

  select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and num...

• 1.1.D

  communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropria...

• 1.1.E

  create and use representations to organize, record, and communicate mathematical ideas

• 1.1.F

  analyze mathematical relationships to connect and communicate mathematical ideas

• 1.1.G

  display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication

01

What Students Need to Do

Students solve familiar problems by identifying what they know, choosing a strategy and tool, and checking whether the answer makes sense. They show their thinking with objects, pictures, numbers, words, or graphs and explain why their method works.

02

What Mastery Looks Like

Given a one-step problem, a student chooses a useful tool or representation, finds an accurate solution, and checks it against the situation. The student explains the steps with clear math words and can compare strategies.

03

Common Misconceptions

Students may grab every number and add without deciding what the problem asks. They may treat a drawing or equation as decoration, choose tools without purpose, or give an answer without checking it.

04

How to Assess It

Give students this prompt: “Mia has 8 crayons and gets 5 more. How many now?” Ask them to use two representations and explain why the answer makes sense.

1. 01

   Give pairs 14 counters and cups, then ask them to model two ways to share the counters and explain each model.

2. 02

   Ask students to choose a tool for solving 9 plus 7, explain their choice, and compare it with a partner’s choice.

3. 03

   Play Strategy Match by having students pair story cards with equations, drawings, or ten-frame cards, then justify each match.

4. 04

   Set up a class store with prices from 1 to 20 cents, then have students plan purchases using 20 counters.

• 8.1

  The 8th Grade version of this standard.

• 6.1

  The 6th Grade version of this standard.

• K.1

  The Kindergarten version of this standard.

• 5.1

  The 5th Grade version of this standard.