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The Nettling Newsline Main Menu | Nettling Math Links | How to Do Best on the Math Test |
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Number, Number Sense, and Operations Number and Number Systems |
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5th Grade Ohio Indicator |
Explanation .... | Websites for Students | |||||||||||||||||||||||||
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1. Use models and visual representation to develop the concept of ratio as part-to-part and part-to-whole, and the concept of percent as part-to-whole.
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Ratios show the relationship of one group to another.
Part to part: Of the shapes above, you could say there are 3 red squares to every 7 blue circles.
Part to whole: Of the shapes above, you could also say that 3 out of 10 shapes are red squares. Example:
Part to whole as percent: Since 3 out of 10 shapes are red squares, you could state that 30% of the shapes are red squares. Example:
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Number, Number Sense, and Operations Number and Number Systems |
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5th Grade Ohio Indicator |
Explanation .... | Websites for Students | |||||||||||||||||||||||||
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2. Use various forms of “one” to demonstrate the equivalence of fractions.
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One can be shown as
fractions:
Remember, any number multiplied by 1 is still that number. Example:
The same is true for numbers that are fractions. Example:
Remember, any number divided by 1 is still that number. Example:
The same is true for numbers that are fractions. Example:
Why is it important? Understanding this helps us find common denominators when we add or subtract fractions. Example:
Understanding this also helps us reduce fractions to lowest terms.
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Number, Number Sense, and Operations Number and Number Systems |
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5th Grade Ohio Indicator |
Explanation .... | Websites for Students | |||||||||||||||||||||||||
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3. Identify and generate equivalent forms of fractions, decimals and percents.
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Percent means "out of 100." We use the percent
symbol (%) to express percent. Percents are used everywhere in real life, so
you'll need to understand them well. Here are some examples of ways to write
the same thing:
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Number, Number Sense, and Operations Number and Number Systems |
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5th Grade Ohio Indicator |
Explanation .... | Websites for Students | |||||||||||||||||||||||||
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4. Round decimals to a given place value and round fractions (including mixed numbers) to the nearest half.
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Decimal Place Value
To round decimals
To round fractions
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Rounding Decimals
Rounding Fractions
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Number, Number Sense, and Operations Number and Number Systems |
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5th Grade Ohio Indicator |
Explanation .... | Websites for Students | |||||||||||||||||||||||||
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5. Recognize and identify perfect squares and their roots.
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Squaring a number means taking a number times itself, such as 5 x 5: 52 = 5 x 5 = 25 Finding the square root of a number is the opposite (inverse operation) of squaring a number.
The array representing a number squared would be square, for example: 5 x 5
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Number, Number Sense, and Operations Number and Number Systems |
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5th Grade Ohio Indicator |
Explanation .... | Websites for Students | |||||||||||||||||||||||||
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6. Represent and compare numbers less than 0 by extending the number line and using familiar applications; e.g., temperature, owing money. |
Negative numbers are numbers that are less than 0.
We use negative numbers to show when the temperature goes below 0 on a thermometer.
We use negative numbers to show that we owe money, like when you don't have any money in your wallet and you have to borrow lunch money for $2.00, you might say you have -$2.00 (you owe more than you have!). We even use negative numbers on game shows like Jeopardy, such as when a contestant has 0 points and misses a question, they then have -200 points. |
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Number, Number Sense, and Operations Number and Number Systems |
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5th Grade Ohio Indicator |
Explanation .... | Websites for Students | |||||||||||||||||||||||||
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7. Use commutative, associative, distributive, identity and inverse properties to simplify and perform computations.
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Commutative Property - An operation is commutative if you can change the order of the numbers involved without changing the result. Addition and multiplication are both commutative. Examples:
Addition: 2 + 1 = 1 + 2 Associative property - An operation is associative if you can group numbers in any way without changing the answer. It doesn't matter how you combine them, the answer will always be the same. Addition and multiplication are both associative. Addition:
(3 + 2) + 1 = 3 + (2 + 1) Distributive Property - When you distribute something, you give pieces of it to many different people. The most common distributive property is the distribution of multiplication over addition. It says that when a number is multiplied by the sum of two other numbers, the first number can be handed out or distributed to the other two numbers and multiplied by each of them separately. 3 × (2 + 1) = (3 × 2) + (3 × 1) |
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Number, Number Sense, and Operations Meaning of Operations |
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5th Grade Ohio Indicator |
Explanation .... | Websites for Students | |||||||||||||||||||||||||
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8. Identify and use relationships between operations to solve problems.
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Number, Number Sense, and Operations Meaning of Operations |
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5th Grade Ohio Indicator |
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9. Use order of operations, including use of parentheses, to simplify numerical expressions.
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Using Order of Operations
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Number, Number Sense, and Operations Meaning of Operations |
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5th Grade Ohio Indicator |
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10. Justify why fractions need common denominators to be added or subtracted. |
If you have two
apples and four oranges, your total is six pieces of fruit --
not six apples, and not six oranges. You had to use the term
fruit, that they both have in common. Before adding or subtracting fractions, you have to have denominators that are the same. You can't add 1/4 and 1/2 because the sections are not the same size.
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Number, Number Sense, and Operations Meaning of Operations |
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5th Grade Ohio Indicator |
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11. Explain how place value is related to addition and subtraction of decimals; e.g., 0.2 + 0.14; the two tenths is added to the one tenth because they are both tenths.
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Number, Number Sense, and Operations Computation and Estimation |
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5th Grade Ohio Indicator |
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12. Use physical models, points of reference, and equivalent forms to add and subtract commonly used fractions with like and unlike denominators and decimals.
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Number, Number Sense, and Operations Meaning of Operations |
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5th Grade Ohio Indicator |
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13. Estimate the results of computations involving whole numbers, fractions and decimals, using a variety of strategies.
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Measurement Measurement Units |
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5th Grade Ohio Indicator |
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Measurement Measurement Units |
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5th Grade Ohio Indicator |
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Measurement Measurement Units |
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5th Grade Ohio Indicator |
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Measurement Measurement Units |
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5th Grade Ohio Indicator |
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Measurement Use Measurement Techniques and Tools |
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5th Grade Ohio Indicator |
Explanation .... | Websites for Students | |||||||||||||||||||||||||
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First, practice what you know
about measuring.
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Measurement Use Measurement Techniques and Tools |
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5th Grade Ohio Indicator |
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Measurement Use Measurement Techniques and Tools |
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5th Grade Ohio Indicator |
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Geometry and
Spatial Sense Characteristics and Properties [Study Guide] |
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5th Grade Ohio Indicator |
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Geometry and Spatial Sense Characteristics and Properties |
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5th Grade Ohio Indicator |
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Geometry and Spatial Sense Characteristics and Properties |
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5th Grade Ohio Indicator |
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Geometry and Spatial Sense Characteristics and Properties |
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5th Grade Ohio Indicator |
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Geometry and Spatial Sense Characteristics and Properties |
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5th Grade Ohio Indicator |
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The sum of the interior angles
of a triangle are always 180°, regardless of what type of triangle it is!
The sum of the interior
angles of a quadrangle (quadrilateral) are always 360°, regardless of what
type of quadrangle it is. |
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Geometry and Spatial Sense Spatial Relationships |
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5th Grade Ohio Indicator |
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Geometry and Spatial Sense Visualization and Geometric Models |
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5th Grade Ohio Indicator |
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Geometry and Spatial Sense Visualization and Geometric Models |
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5th Grade Ohio Indicator |
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First, practice by looking at
shapes!
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Patterns, Functions,
and Algebra Use Patterns, Relations, and Functions |
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5th Grade Ohio Indicator |
Explanation .... | Websites for Students | |||||||||||||||||||||||||
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First,
practice identifying patterns!
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Patterns, Functions, and Algebra Use Patterns, Relations, and Functions |
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5th Grade Ohio Indicator |
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Patterns, Functions, and Algebra Use Algebraic Representation |
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5th Grade Ohio Indicator |
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Patterns, Functions, and Algebra Use Patterns, Relations, and Functions |
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5th Grade Ohio Indicator |
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Patterns, Functions, and Algebra Use Patterns, Relations, and Functions |
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5th Grade Ohio Indicator |
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Patterns, Functions, and Algebra Analyze Change |
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5th Grade Ohio Indicator |
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Data Analysis and Probability Data Collection |
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5th Grade Ohio Indicator |
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Data
Analysis and Probability Data Collection |
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5th Grade Ohio Indicator |
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Data
Analysis and Probability Data Collection |
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5th Grade Ohio Indicator |
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Data
Analysis and Probability Data Collection |
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5th Grade Ohio Indicator |
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Data
Analysis and Probability Data Collection |
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5th Grade Ohio Indicator |
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Data
Analysis and Probability Statistical Methods |
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5th Grade Ohio Indicator |
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Data
Analysis and Probability Probability |
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5th Grade Ohio Indicator |
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Data
Analysis and Probability Probability |
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5th Grade Ohio Indicator |
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Data
Analysis and Probability Probability |
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5th Grade Ohio Indicator |
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Data
Analysis and Probability Probability |
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5th Grade Ohio Indicator |
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Data
Analysis and Probability Probability |
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5th Grade Ohio Indicator |
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Online Practice Ohio Achievement Tests
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