Mathematics
Grade 5
15 min
Count on ten frames - up to 5
Count on ten frames - up to 5
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1
Introduction & Learning Objectives
Learning Objectives
Accurately identify quantities up to 5 on a ten frame.
Apply the 'counting on' strategy to determine the total number of counters on a ten frame, starting from a given number.
Instantly recognize (subitize) small quantities (1-5) represented on a ten frame.
Relate ten frame representations to corresponding addition number sentences within 5.
Visualize and mentally manipulate ten frames to solve simple 'how many more to make 5' problems.
Explain the purpose of a ten frame in developing number sense and mental math strategies.
Ever wonder how quickly you can 'see' a number without counting each item? 🤔 Let's sharpen our number sense and mental math skills!
In this lesson, we'll revisit ten frames to quickly recogniz...
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Key Concepts & Vocabulary
TermDefinitionExample
Ten FrameA rectangular grid composed of two rows of five cells, used to organize counters and visualize numbers, especially in relation to 5 and 10.A 2x5 grid where you place dots to show a number.
CounterA small object (like a dot or chip) used to represent a quantity on a ten frame.If you place 3 red dots on a ten frame, each dot is a counter.
SubitizingThe ability to instantly recognize the number of items in a small group without having to count them individually.Seeing three dots on a ten frame and immediately knowing it's '3' without counting '1, 2, 3'.
Counting OnA strategy for addition where you start counting from a given number rather than starting from one.If a ten frame has 3 counters, and you add 2 more, you 'count on'...
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Core Formulas
Ten Frame Filling Convention
Always fill the top row from left to right first. Once the top row is full (5 counters), start filling the bottom row from left to right.
This standard way of filling a ten frame helps with quick recognition (subitizing) and consistent visualization of numbers. For numbers up to 5, only the top row will be used.
Counting On Strategy for Ten Frames
To find the total number of counters, start by recognizing the number of counters already present. Then, count forward for each additional counter added.
This rule promotes efficient counting and mental math. Instead of recounting from 1, you leverage your ability to recognize the initial quantity and simply 'count on' the new ones. For example, if you see 3 counters and add 2, you think '...
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Challenging
A ten frame is used to model the equation ? + 2 = 5. Which statement best describes the initial state of the ten frame, representing the unknown quantity, before the 2 counters were added?
A.The ten frame had 5 counters.
B.The ten frame had 2 counters.
C.The ten frame had 3 counters.
D.The ten frame was empty.
Challenging
Why is the 'top row first, left to right' filling convention a critical rule for developing number sense, particularly for subitizing quantities in relation to the benchmark number 5?
A.Because it is the only way to fit 5 counters in the top row.
B.It slows down the counting process, forcing students to be more careful.
C.This rule is arbitrary and has no real impact on developing number sense.
D.It creates a consistent and predictable visual pattern, allowing the brain to recognize quantities like 3 or 4 without counting, because they always look the same.
Challenging
If a ten frame represents a quantity 'x' where x is a whole number less than 5, what does the algebraic expression '5 - x' represent on the same ten frame?
A.The total number of counters on the frame.
B.The number of counters in the bottom row.
C.The number of empty spaces in the top row.
D.The quantity 'x' doubled.
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