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Time4Learning understands how important the choice of a second grade math curriculum is for families. Not only is second grade a time to review the foundational skills learned in first grade math, but it is a launchpad for multiplication and for understanding how numbers are used in everyday life.
The major math strands for second grade curriculum are number sense and operations, algebra, geometry and spatial sense, measurement, and data analysis and probability. Time4Learning teaches a comprehensive second grade math curriculum using fun, activities to build a solid math foundation.
What Math Should a Second Grader Know?
By the time they have finished first grade, students have begun to understand the relationships between numbers and have started to recognize mathematical patterns. Second graders become adept at one and two-digit addition and subtraction and have learned a variety of methods for solving mathematical problems.
Some of the key math concepts a second grader should know include:
- Read and write numerals to 100 and to count objects to 100 or more
- Addition and subtraction of two-digit numbers without regrouping, up to 100, using models and algorithms
- Explore number patterns on a hundred chart and with a calculator
- Combine shapes to form others shapes and find geometric shapes in real-life situations
- Learn and compare money values including the quarter (25 cents), half-dollar (50 cents), and dollar (100 cents)
The ideal math curriculum for second grade will continue to build on these skills and expand on to new ones while making learning fun and motivating them to continue to learn.
Second Grade Math Objectives
In second grade, students continue with more sophisticated approaches to addition and subtraction and begin understanding the patterns leading to multiplication. Simple fractions are also introduced this year. Geometric learning extends a student’s understanding of shapes and their parts.
Some of the key goals for second grade math include:
- Understanding the meaning, uses, and representations for numbers
- Computing addition and subtraction facts accurately
- Analyzing and interpreting data
- Using appropriate techniques, tools, units, and formulas in making measurements
- Investigating the properties and characteristics of two and three dimensional geometric shapes
Time4Learning’s Second Grade Math Scope & Sequence
Chapter 1: “Number Sense”
Count and group objects into hundreds, tens, and ones. Identify a given number in expanded form. Identify the value of a given digit within a number up to the hundredths place.
Lesson 2: Write Numbers – 2 Activities
Read and write number words up to ninety-nine and match them to numerals.
Lesson 3: Compare Numbers – 7 Activities
Compare and order numbers using symbols such as <, =, and >. When given any number up to 1,000, identify one more than, one less than, 10 more than, 10 less than, 100 more than, and 100 less than.
Lesson 4: Ordinal Numbers – 2 Activities
Read and understand ordinal numbers 1st – 100th. Identify ordinal number words first – tenth by name.
Lesson 5: Equivalent Forms of Numbers – 2 Activities
Using diagrams, pictorial representations, and numerical expressions, represent equivalent forms of various numbers up to 1000.
Lesson 6: Skip Counting – 2 Activities
Count up to 1000 by fives, tens, twenty-fives, fifties, and hundreds using mental math and pictorial representations.
Lesson 7: Zero as a Placeholder – 2 Activities
Use zero as a placeholder and identify 10 tens as 100, 10 hundreds as 1000.
Lesson 8: Number Line and Rounding – 3 Activities
Locate numbers up to 1000 on a number line. Use a number line to round numbers to the nearest 10.
Lesson 9: Odd and Even Numbers – 4 Activities
Identify odd and even numbers.
Lesson 10: Sums and Differences: Even or Odd? – 2 Activities
Locate numbers up to 1000 on a number line. Use a number line to round numbers to the nearest 10.
Chapter Test: Number Sense
Chapter 2: “Fractions”
Lesson 1: Equal Parts of a Whole – 2 Activities
Identify, model, and record fractions that represent more than one equal part of a whole.
Lesson 2: Equal Parts of a Group – 2 Activities
Identify, model, and record equal parts of groups.
Lesson 3: More About Fractions – 3 Activities
Identify words for fractional parts such as halves, thirds, quarters, and eighths and fractions representing 1 whole.
Chapter Test: Fractions
Chapter 3: “Operations”
Lesson 1: Fact Families – 2 Activities
Solve addition and subtraction facts up to 18 by using inverse operations. Describe the related facts that make up a fact family.
Lesson 2: Grouping Property – 2 Activities
Use the Associative Property of Addition to solve addition problems involving three addends.
Lesson 3: Two-digit Addition – 2 Activities
Solve addition problems involving two-digit numbers with regrouping.
Lesson 4: Adding Whole Numbers – 5 Activities
Add single- and two-digit whole numbers.
Lesson 5: Two-digit Subtraction – 2 Activities
Solve subtraction problems involving two-digit numbers with regrouping.
Lesson 6: Subtracting Whole Numbers – 6 Activities
Subtract single-digit numbers from single and two-digit numbers and two-digit numbers from two-digit numbers.
Lesson 7: Multiplication – 6 Activities
Identify multiplication as repeated addition. Multiply two one-digit numbers by 2, 3, and 5 using an array.
Lesson 8: Division – 2 Activities
Explain division as equal parts of a set. Divide a number up to 30 by 2, 3, or 5 using pictorial representations.
Estimate reasonable answers to addition and subtraction problems with sums to 100.
Chapter Test: Operations
Chapter 4: “Money”
Lesson 1: Identify Money – 3 Activities
Identify pennies, nickels, dimes, quarters, and half-dollars and their values. Count pennies, nickels, dimes, and quarters up to 50¢.
Lesson 2: Count Mixed Coins – 3 Activities
Count mixed collection of coins.
Lesson 3: Model Money Amounts – 3 Activities
Model the same amount in more than one way. Model an amount using the fewest coins.
Lesson 4: Add and Subtract Money – 3 Activities
Solve addition and subtraction problems involving money, with and without regrouping.
Chapter Test: Money
Chapter 5: “Patterns”
Lesson 1: Sort Objects – 3 Activities
Sort objects by attributes of shape, size, or color. Recognize and explain how patterns are made (e.g. repetition, transformation, or other changes to attribute).
Lesson 2: Venn Diagrams – 2 Activities
Sort objects using Venn diagram with one intersection.
Lesson 3: Pattern Rules – 2 Activities
Describe a given pattern and explain the pattern rule.
Lesson 4: Build Patterns – 2 Activities
Predict, extend, and create patterns that are pictorial or symbolic. Transfer patterns from one medium to another (e.g., change red, red, blue, green, red to 1,1,2,3,1).
Lesson 5: Compare Patterns – 2 Activities
Compare repeating and growing patterns and analyze how they are generated.
Lesson 6: Real World Patterns – 2 Activities
Identify patterns in the real world such as repeating, tessellating, and patchwork.
Lesson 7: Patterns on a Hundreds Chart – 2 Activities
Identify number patterns on a hundred chart.
Lesson 8: Number Patterns – 3 Activities
Predict and extend a linear pattern.
Chapter Test: Patterns
Chapter 6: “Algebra”
Lesson 1: Order Property – 2 Activities
Use the Commutative Property of Addition to solve problems. Check the sum by changing the addends. Solve two-digit equations with one unknown.
Lesson 2: Equalities and Inequalities – 2 Activities
Use pictorial representations and numbers to explore equalities and inequalities.
Lesson 3: Greater Than and Less Than – 2 Activities
Solve number sentences with equalities and inequalities using the symbols <, =, >.
Lesson 4: Two-digit Problems – 2 Activities
Using models, pictures, and algorithms, solve problems involving the addition and subtraction of two-digit numbers with and without regrouping.
Lesson 5: Real World Equations – 2 Activities
Solve real-world addition and subtraction equations with one unknown.
Lesson 6: Balance Equations – 2 Activities
Create models that explore the concept of an equation being balanced.
Chapter Test: Algebra
Chapter 7: “Geometry”
Lesson 1: Plane Shapes – 4 Activities
Describe and create plane shapes such as squares, rectangles, triangles, hexagons, trapezoid, and parallelograms.
Lesson 2: Solid Shapes – 4 Activities
Describe and create solids shapes such as cubes, rectangular prisms, spheres, cylinders, cones, and pyramids.
Lesson 3: Classify Shapes – 2 Activities
Describe, classify, and sort two- and three-dimensional shapes according to their attributes (sides, corners, faces, curves). Explain which attribute is being used for classification.
Lesson 4: Faces of Solids – 2 Activities
Identify plane shapes as faces of solid shapes.
Lesson 5: Similar and Congruent – 2 Activities
Identify similar and congruent two-dimensional objects.
Lesson 6: Parallel and Perpendicular – 2 Activities
Identify lines as parallel or perpendicular.
Lesson 7: Horizontal and Vertical Lines – 2 Activities
Identify lines as horizontal or vertical.
Chapter Test: Geometry
Chapter 8: “Positions”
Lesson 1: Position Words – 2 Activities
Identify, locate, and move objects according to positional words such as to the left, above, and behind.
Lesson 2: Directional Words – 2 Activities
Identify the location of objects according to two directions such as upper-right, upper-left, lower-right, and lower-left.
Lesson 3: Using a Map – 2 Activities
Locate objects on the first quadrant of a coordinate grid.
Lesson 4: Plot Numbers on Number Line – 2 Activities
Locate, plot, and identify known and unknown numbers on a number line from 0 to 50 by twos and from 1 to 100 by fives.
Chapter Test: Positions
Chapter 9: “Using Shapes”
Lesson 1: Slides, Flips, and Turns – 2 Activities
Identify and demonstrate slides, flips, and turns using pictures.
Lesson 2: Congruent Figures – 2 Activities
Recognize congruent figures under slides, flips, or turns.
Lesson 3: Reflections – 2 Activities
Match, predict, and identify the reflection of a two-dimensional shape.
Lesson 4: Line Symmetry – 2 Activities
Identify and create figures with line symmetry.
Lesson 5: Types of Line Symmetry – 2 Activities
Identify and create vertical and horizontal lines of symmetry.
Chapter Test: Using Shapes
Chapter 10: “Spatial Sense”
Lesson 1: Make Plane Shapes – 2 Activities
Separate or combine plane shapes to create new plane shapes.
Lesson 2: Perimeter and Area – 2 Activities
Explore perimeter and area of two-dimensional shapes.
Lesson 3: Find the Area – 6 Activities
Identify area as the number of squares it takes to cover a plane object.
Chapter Test: Spatial Sense
Chapter 11: “Time”
Lesson 1: Time to the Hour and Half-hour – 3 Activities
Tell time to the hour and half hour on analog and digital clocks.
Lesson 2: Time to Nearest Quarter-hour – 2 Activities
Tell time to the nearest quarter hour using digital and analog clocks by counting time in five-minute intervals.
Lesson 3: AM, PM, and Elapsed Time – 3 Activities
Describe time as A.M. or P.M., identify noon and midnight, and solve simple problems of elapsed time.
Lesson 4: Units of Time – 2 Activities
Identify relationships of time, such as seconds in a minute, minutes in an hour, days in a week, and months in a year.
Lesson 5: Months and Measuring Time – 3 Activities
Identify names of the months in order and their lengths and identify appropriate tools for measuring time.
Chapter Test: Time
Chapter 12: “Length”
Lesson 1: Measure with Non-standard Unit – 2 Activities
Measure and compare lengths using nonstandard units and describe lengths in terms of shorter and longer.
Lesson 2: Measure with Customary Units – 5 Activities
Recognize the need for a standard unit of measure and measure and estimate length to the nearest inch, foot, and yard.
Lesson 3: Tools and Units – 2 Activities
Estimate, compare, and measure distance in feet or miles and choose appropriate unit of measurement for various distances.
Lesson 4: Perimeter – 2 Activities
Explore perimeter of squares and rectangles by adding lengths of sides.
Lesson 5: Measure with Metric Units – 5 Activities
Recognize that the metric system is another system of measurement and measure length to the nearest centimeter or meter.
Chapter Test: Length
Chapter 13: “Weight”
Lesson 1: Sort by Weight – 2 Activities
Sort and classify objects according to their weight and describe objects in term of lighter, heavier, less than, and more than.
Lesson 2: Measure with Non-standard Unit – 2 Activities
Measure and compare weights using nonstandard units and recognize the need for a standard unit of measurement.
Lesson 3: Measure with Customary Units – 2 Activities
Estimate and measure weights in ounces, pounds, and tons and choose the most reasonable measurement of a specific item.
Lesson 4: Measure with Metric Units – 2 Activities
Recognize that the metric system is another system of measurement and measure weights to the nearest gram or kilogram.
Chapter Test: Weight
Chapter 14: “Capacity”
Sort and classify containers according to their capacity. Describe capacity in terms of emptier, fuller, less than, and more than.
Lesson 2: Measure with Customary Units – 2 Activities
Measure and estimate capacity to the nearest cup, pint, quart, and gallon.
Lesson 3: Tools and Units – 2 Activities
Choose appropriate tool for measuring capacity.
Lesson 4: Measure with Metric Units – 2 Activities
Recognize that the metric system is another system of measurement. Measure capacity to using liters and milliliters.
Chapter Test: Capacity
Chapter 15: “Temperature
Lesson 1: Seasons and Temperatures – 2 Activities
Describe temperature of the seasons in terms of cool, cold, warm, and hot.
Compare Fahrenheit and Celsius thermometers.
Lesson 3: Measure Temperatures – 2 Activities
Read a Fahrenheit and Celsius thermometers to tell temperature to the nearest two degrees. Relate reasonable temperatures to the seasons.
Chapter Test: Temperature
Chapter 16: “Graphing”
Lesson 1: Tally Tables – 2 Activities
Create and interpret tally tables.
Lesson 2: Organize Data into Groups – 2 Activities
Collect, organize, and record data into 3 or more categories.
Lesson 3: Organize Data into Graphs – 2 Activities
Organizes data into simple graphs such as pictographs and bar graphs.
Lesson 4: Transfer Data to Graphs – 2 Activities
Transfer data from a chart of two or three categories to a bar or picture graph.
Chapter Test: Graphing
Chapter 17: “Using Data”
Lesson 1: Compare Data – 2 Activities
Identify and interpret information such as range, mode, and median from a graph or chart.
Lesson 2: Make Predictions – 2 Activities
Interpret data to make predictions about events or situations.
Chapter Test: Using Data
Chapter 18: “Probability”
Lesson 1: Certain and Impossible – 2 Activities
Identify whether an event is certain, possible, or impossible.
Lesson 2: Most Likely and Least Likely – 2 Activities
Identify the likelihood of a mathematical event as less likely, likely, or more likely to occur.
Lesson 3: Predictions Based on Data – 2 Activities
Make predictions based on data from activities of chance such as coin flips and spinners.
Chapter Test: Probability
Why Choose Time4Learning Second Grade Math Homeschool Curriculum
Time4Learning’s award-winning program is flexible and easy to use as a second grade core homeschool curriculum or for supplemental enrichment. Our program offers families an affordable and engaging way to help students gain the core mathematics skills they need in second grade, and prepare them for third grade math.
