1.3.A
The Standard
use concrete and pictorial models to determine the sum of a multiple of 10 and a one-digit number in problems up to 99
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students build or draw a number made of full tens, then add up to nine ones. They connect the model to an equation and find the total without regrouping.
What Mastery Looks Like
- A student can build or draw full tens and add separate ones. The student writes the correct equation and explains that the number of tens stays the same.
Common Misconceptions
- Students may add the digit to the number of tens, saying 40 + 3 equals 70. They may also count ten-rods as single ones or reverse the tens and ones when writing the total.
How to Assess It
- Give students the prompt: “Solve 60 + 7. Draw a model, write the total, and label the tens and ones.”
Lesson moves
Ways to Teach It
Give students ten-rods and unit cubes to build 40 + 6, then draw the model and write 46.
Ask, “Mia says 70 + 5 equals 75. How could a drawing prove her answer?”
Partners draw one tens card and one digit card, build the sum, and record the equation on a whiteboard.
Bundle straws into groups of ten, add loose straws, and count the total as classroom supplies.
Keep exploring
Related Standards
- 1.2.B
use concrete and pictorial models to compose and decompose numbers up to 120 in more than one way as so many hundreds, so many tens, and so many ones
- K.2.E
generate a set using concrete and pictorial models that represents a number that is more than, less than, and equal to a given number up to 20
- 3.5.A
represent one- and two-step problems involving addition and subtraction of whole numbers to 1,000 using pictorial models, number lines, and equations
- 2.2.A
use concrete and pictorial models to compose and decompose numbers up to 1,200 in more than one way as a sum of so many thousands, hundreds, tens, and ones
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