# Third Grade Mental Math

Represent and solve problems involving multiplication and division. Interpret products of whole numbers, e. 7 as the total number of objects in 5 groups of 7 third Grade Mental Math each.

Interpret whole-number quotients of whole numbers, e. 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e. Determine the unknown whole number in a multiplication or division equation relating three whole numbers. Understand properties of multiplication and the relationship between multiplication and division. Apply properties of operations as strategies to multiply and divide.

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Understand division as an unknown-factor problem. 8 by finding the number that makes 32 when multiplied by 8. By the end of Grade 3, know from memory all products of two one-digit numbers. Solve problems involving the four operations, and identify and explain patterns in arithmetic. Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity.

Assess the reasonableness of answers using mental computation and estimation strategies including rounding. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends. 2 Students need not use formal terms for these properties. Please click here for the ADA Compliant version of the Math Standards. The Time4Learning math curriculum is available for students in preschool to twelfth grade. Parents can expect to see subjects covered including identifying transformations and symmetry, demonstrating fractions, problem solving and more. The comprehensive lesson plans outlined below provide a detailed list of the Time4Learning third grade math curriculum.

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Members often use this page as a resource for more detailed planning, as a guide to help select specific activities using the activity finder or to compare our curriculum with state standards and homeschooling laws. What Is Included In The Time4Learning Lesson Plan? Students enrolled in Time4Learning’s third grade math program will have access to both second grade and fourth grade lessons as part of their membership, so they can move ahead or review at their own pace. Convert numbers containing two to six digits from standard form to expanded form and vice versa. Write numbers up to six digits using oral and written cues. Round numbers up to the ten-thousands to the nearest ten. Use number lines and knowledge of place value.

Round numbers up to the ten-thousands to the nearest hundred. Round numbers to the nearest ten, to the nearest hundred, and to the nearest thousand. Add three or more single digit addends. Subtract 2- and 3-digit numbers when minuend has multiple zeros. Estimate sums and differences using rounding.

0 and 1, using arrays and tables. Explore multiplication as repeated addition and arrays. Multiply two whole numbers with and without regrouping in which one factor is a one-digit number and the other is a 2-digit number. Multiply mentally by 10, 100, and 1000. 90 using strategies based on place value and properties of operations. An introduction to simple division problems including divisions involving 0 and 1 and divisions involving remainders using tables and other manipulatives.

10, and identify dividend, divisor, and quotient. Describe these division properties: you cannot divide by 0, and any number divided by 1 equals that number. Represent and solve problems involving division. Interpret quotients of whole number as the either the number of objects in each share when objects are partitioned equally. Use division within 100 to solve word problems in situations involving equal groups by using drawings and equations with a symbol for the unknown number.

Divide two-digit dividends by one-digit divisors, with and without remainders. Identify parts of a set and parts of a whole with equivalent fractions with denominators up to 10. Explore the relationship between fractions and decimals. Identify decimals to the hundredths place. Read and write decimals to the hundredths.

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Solve word problems that involve the value of coins, bills, and making change. Solve problems involving unit price of items. Identify and extend repeating patterns and apply pattern rules using shapes, colors and numbers. Identify and extend patterns and apply pattern rules using a sequence of related numbers. Represent and evaluate written relationships as numeric expressions. Determine the unknown whole number in a multiplication equation relating three whole numbers.

Determine the unknown whole number in a division equation relating three whole numbers. Solve for an unknown quantity in an equation. Understand properties of multiplication and apply these properties as strategies to multiply. Understand properties of division and apply these properties as strategies to divide. Properties of Addition and Multiplication to find equivalent expressions or equations containing an unknown quantity. Describe line segments, lines and line pairs.

Identify and classify angles as right, acute, or obtuse. Identify and create a two-dimensional representation of a three-dimensional figure. Find the horizontal or vertical distance between two points on a coordinate grid. Plot a point on a coordinate grid given an ordered pair and write the ordered pair of a point shown on a coordinate grid. After being given navigational directions from the initial point, identify the ordered pair of the final point. Given a plane figure, identify the congruent shape and create a congruent shape using other plane figures. Apply a slide, flip, or turn to a plane figure and predict the result.

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Identify the image of a plane figure as a slide, flip, or turn. Use line and point symmetry to identify and create symmetrical figures. Define, tell, and show time to the hour, half hour and quarter hour. Define, tell, and show time to the 5 and 1 minute intervals. Find elapsed time using minutes, hours, days, and weeks. Develop measuring skills and demonstrate understanding of concepts related measuring time.

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Interpret time schedules using minutes, hours, days, and weeks. Read thermometer to nearest 5-degree interval. Find perimeter by counting units and by adding lengths. Display and interpret data in pictographs.

Display and interpret data in vertical and horizontal bar graphs. Display and interpret data in tables including tally, data, and frequency tables. Display and interpret data in frequency tables using two attributes. Determine the certainty, likelihood, and fairness of events. Determine and list all the possible outcomes of an event.

Use Polya’s four-step method to solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown. Solve two-step word problems using the four operations. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. Students will apply mathematics to real-world problems. Students will use a problem-solving model.

Students will create and use representations. Students will use precise mathematical language. The lesson activity finder is one of the many helpful tools that Time4Learning offers its members. The activity finder is a shortcut that makes it easy for parents to preview lessons or find extra practice for their child. These numbers can be found on either the scope and sequence pages or the lesson plans in the Parent Dashboard.

For additional information, please visit our hints and help section, which gives more details about the activity finder. Online Curriculum for Homeschool, Afterschool and Summer Use If you are just learning about Time4Learning, we’d suggest first looking at our interactive lesson demos. Sign up for Time4Learning and gain access to a variety of educational materials, which will engage and challenge your child to succeed. Make Time4Learning a part of your children’s homeschool resources. We’d love to chat with you! The Time4Learning math curriculum is available for students in preschool to twelfth grade.

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Parents can expect to see subjects covered including identifying even and odds, demonstrating fractions, solving basic addition and subtraction problems and more. The comprehensive lesson plans outlined below provide a detailed list of the Time4Learning first grade math curriculum. Members often use this page as a resource for more detailed planning, as a guide to help select specific activities using the activity finder or to compare our curriculum with state standards and homeschooling laws. What Is Included In The Time4Learning Lesson Plan? Here is a free printable first grade math worksheet to share with your student. Students enrolled in Time4Learning’s first grade math program will have access to both kindergarten and second grade lessons as part of their membership, so they can move ahead or review at their own pace.

Weekly Homeschool Planner Download this FREE worksheet to plan your homeschool week. When you sign up for Time4Learning, take advantage of the automated built-in activity planner and simplify your homeschool lesson planning. Read whole numbers up to 100. Use one-to-one correspondence to count objects up to 100.

Compare and order whole numbers up to 100 by understanding the concepts of greater than, less than, and equality. Match ordinal numbers with an ordered set of up to ten items. Identify first, second, and third by name. Count forward and backward by ones and count forward by tens from any number less than 100. Identify the place value of a digit in whole numbers to 100. Identify the value of digits up to the hundreds place.

Group objects by tens and ones. Compare and order whole numbers up to 100 using place value. Count forward by twos and fives up to 50. Model and identify even and odd numbers. Identify equal and unequal parts of wholes. 3 of wholes using concrete materials and objects.

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Identify equivalent fractional parts as a whole. Demonstrate understanding of the meaning of addition and subtraction by using language such as put together, take away, increase, decrease, compare, and find the difference. Relate informal language to mathematical language and symbols. When given any number up to 100, identify one more than, one less than, 10 more than, and 10 less than. Find the sum of three one-digit numbers.

Explain the meaning of zero and its function as a placeholder. Solve for basic addition and subtraction facts by using strategies such as counting on, counting back, doubling, doubling plus one, and making ten. Solve addition and subtraction one-digit word problems by selecting the proper operation. Choose an appropriate method, such as using concrete materials, mental math, or paper and pencil to solve real-world addition and subtraction problems. Use the appropriate language of estimation such as about, near, closer to, and between to identify and describe numbers in real-world situations. Estimate reasonable answers to compare amounts, count objects, and solve basic facts.

Recognize and use the cents sign. Identify and count money to equal an amount using the fewest coins. Sort and classify objects by one attribute. Sort and classify objects by two or more attributes. Justify rules for sorting and classifying. Use one attribute to create a pattern. Identify and generate patterns in number pairs by adding to a T-chart.

Explore and create repeating patterns and growing patterns and generate rule for such patterns. Explore patterns of numbers on a hundreds chart. Use patterns to skip count by 2s, 5s, and 10s to 100. Understand and identify odd and even numbers. Predict and extend existing numerical patterns using addition.

### Participation in State Assessments

Use the Commutative Property of Addition in solving problems. Using objects and pictures, model situations that involve the addition and subtraction of whole numbers. Identify fact families by understanding the patterns in related addition and subtraction sentences. Using objects, create models that represent a variety of number sentences including the missing addend. Use concrete objects and pictorial representations to explore equalities and inequalities. Use concrete objects to solve number sentences with equalities and inequalities using the symbols .

Solve addition and subtraction problems with an unknown number represented by a geometric shape. Compare plane figures based on their straight and curved lines. Recognize plane shapes such as hexagons, trapezoids, and rhombi. Recognize solid shapes such as spheres, cylinders, cones, and cubes. Identify congruent two- and three-dimensional shapes. Describe relative positions of objects or shapes using words such as top, middle, on, inside, and outside.

Interpret directional words such as left, right, up, and down. Identify, locate, and move objects according to positional words such as to the left, above, and behind. Locate, plot, and identify known and unknown numbers on a number line from 0 to 20 by ones and from 1 to 100 by tens. Identify slides and turns with objects. Identify matching pairs of congruent figures that have been turned or flipped. Identify lines of symmetry in two-dimensional shapes.

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Recognize two- and three-dimensional shapes from various perspectives. Compare perimeter and area of two-dimensional shapes in terms of less than, equal to, or greater than. Recognize geometric shapes in the environment. Use pattern blocks to form shapes. Identify combined shapes in nature, art, and architecture.

Identify the names of the week and months of the year using a calendar. Identify the keywords that name the passage of time such as yesterday, afternoon, night, and day. Identify tools for measuring time such as clocks and calendars and name parts of each tool. Solve simple real-world problems involving elapsed time to the hour and half hour and minutes. Use nonstandard units to estimate and measure lengths. Compare the length of two or more objects by using direct comparison or by using nonstandard units. Use customary units to measure, compare, and order objects according to lengths, in inches and feet.

Choose the appropriate unit and tool to measure length. Use metric units to measure, compare, and order objects according to lengths. Use nonstandard units to estimate and measure weights. Compare the weight of two or more objects by using direct comparison or by using nonstandard units. Compare the weight of two or more objects using customary units and identify the tools for measuring weight. Use metric units to measure, compare, and order objects according to weights. Use nonstandard units to estimate and measure capacity.