6.4.F
The Standard
represent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these values using 10 by 10 grids, strip diagrams, number lines, and numbers
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students connect familiar fractions and percents to visual models and number lines. They represent 1%, 10%, 25%, 33 1/3%, and their multiples in several equivalent forms.
What Mastery Looks Like
- A student can show a benchmark percent accurately on a grid, strip diagram, and number line. The student can write matching fractions and percents, then use benchmark multiples such as 50%, 75%, and 66 2/3%.
Common Misconceptions
- Students may treat a percent as a whole number instead of an amount out of 100. They may confuse 25% with 1/25, or place 33 1/3% at 33 1/3 instead of one-third on a 0-to-1 number line.
How to Assess It
- Give students 75% and ask them to shade a 10 by 10 grid, mark a number line, draw a strip diagram, and write an equivalent fraction.
Lesson moves
Ways to Teach It
Give pairs 10 by 10 grids and paper strips to model 10%, 25%, 33 1/3%, 50%, and 75%.
Ask students to explain in writing why three groups of 25% equal 75% using a model and an equation.
Play a matching game with cards showing percents, fractions, shaded grids, strip diagrams, and number-line points.
Use store discount tags for 10%, 25%, and 50%, then have students model each discount on a grid or strip.
Keep exploring
Related Standards
- 3.3.F
represent equivalent fractions with denominators of 2, 3, 4, 6, and 8 using a variety of objects and pictorial models, including number lines
- 6.4.E
represent ratios and percents with concrete models, fractions, and decimals
- 3.3.A
represent fractions greater than zero and less than or equal to one with denominators of 2, 3, 4, 6, and 8 using concrete objects and pictorial models, includin...
- 5.3.F
represent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including...
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