 # Math Secular Homeschool Curriculum Skills List | Second Grade

Math skills are introduced with manipulative activities that help the child see and work through the concept in a tactile manner. This is followed by an individual activity or practice worksheet (included in the lesson).

Whole Numbers and Sets

• Count by ones forward or backward from 1-1,000.
• Count aloud beginning with numbers other than one.
• Count by twos, threes, fours, fives, and tens from 1-100 by memory.
• Count by hundreds to one thousand.
• Recognize, read aloud, and write the numerals in order from 0 to 1,000.
• Understand and identify place value for each digit in numbers to 1,000.
• Apply expanded notation to model place value through 999.
• Identify even and odd numbers.
• Identify a number that comes before or after a given number.
• Identify a number that comes between two given numbers.
• Identify one, ten, one hundred, and one thousand more than a given number.
• Round numbers to the nearest ten and hundred.
• Write numbers in expanded form.
• Convert numbers from word form to standard form.
• Estimate sums and differences up to 100.
• Continue to develop the ability to understand and use ordinal numbers, first through twelfth.
• Apply ordinals to daily experiences.
• Use comparison symbols (<, =, >).
• Use a calculator to add, subtract, multiply, and divide sets.

Patterns and Operations: Algebraic Thinking

• Compare numbers up to 100.
• Compare three-digit numerals and arrange them in ascending order.
• Review subtraction facts 0-20.
• Write addition and subtraction fact families.
• Identify the missing term in an addition equation.
• Write an addition equation from a “some, some more” story.
• Write a subtraction equation from a “some, some went away” or a “less than” story.
• Use the inverse relationship between addition and subtraction to check answers.
• Use manipulatives to model and solve multiplication problems.
• Learn multiplication facts 0-10.
• Learn division facts 0-10.
• Use manipulatives to model and solve division problems.
• Copy, extend, describe, and create simple repetitive patterns.
• Identify a missing symbol in a repeating pattern.
• Recognize a number that does not belong in a pattern.
• Identify a missing number in a sequence.
• Represent unknown quantities using variables.
• Use variables in contextual situations.
• Add and subtract two- and three-digit numbers.
• Use addition, subtraction, multiplication, and division to solve one- and two-step word problems.
• Recognize and apply the Associative Property of Addition.
• Recognize and apply the Associative Property of Multiplication.
• Recognize and apply the Commutative Property of Addition.
• Recognize and apply the Commutative Property of Multiplication.
• Recognize and apply the Identity Property of Multiplication.
• Recognize and apply the Zero Property of Multiplication.

Geometry

• Learn about plane and solid geometry.
• Identify, name, and describe regular and irregular polygons.
• Identify angles, vertices, and sides.
• Identify, name, and describe solids.
• Identify angles, vertices, and faces.
• Find the area of a shape.
• Find the perimeter of a shape.
• Find the circumference of an object.
• Find the volume of a solid.
• Identify and draw congruent shapes, lines, or line segments.
• Identify and draw horizontal and vertical line segments.
• Identify and draw parallel and perpendicular line segments.
• Construct and name angles.
• Identify acute, obtuse, and right angles.
• Combine geometric shapes to make new shapes.
• Sort shapes and explain the sorting rule.
• Classify objects according to color, shape, size, function, likeness, and differences.
• Identify and draw a line of symmetry.
• Create symmetrical designs.
• Recognize or draw the reflection of a shape.
• Recognize or draw the rotation of a shape.
• Graph ordered pairs on a coordinate plane.
• Apply geometry concepts.

Measurement/ Estimation

• Use a ruler to measure inches, feet, yards, and centimeters.
• Draw line segments to the nearest 1/2 inch.
• Draw line segments to the nearest centimeter.
• Order objects by length or height.
• Use digital and analog clocks to tell, write, and show time to the nearest five minutes.
• Identify a.m. and p.m.
• Identify morning, noon, afternoon, evening, night, and midnight.
• Identify weekdays and the weekend.
• Recite the days of the week and the months of the year.
• Identify yesterday, today, and tomorrow.
• Order events by time.
• Compare events according to duration.
• Solve problems using a calendar.
• Write a list of events on a weekly calendar.
• Write the date using digits.
• Represent numbers on a number line.
• Identify units of capacity: cup, pint, quart, and gallon.
• Make direct comparisons using measurable attributes such as length, weight, and capacity.
• Compare sets of objects and say whether the number of objects in one set is equal to, greater than, or less than the number of objects in the other set.
• Understand that one task may take more or less time to accomplish than another task.
• Understand that one item may weigh more or less than another item.
• Understand that one item may hold more or less than another item.
• Make an estimate and experiment to test the estimate.

Reasoning, Problem Solving, and Communication

• Make predictions.
• Make observations.
• Develop mental math skills.
• Use simple logic to solve a problem.
• Describe how the problem was solved.
• Determine whether a solution to a problem is reasonable.
• Identify the questions asked in a problem.
• Recognize when additional information is required to solve a problem.
• Use mathematical operations to solve a word problem.
• Solve a word puzzle.
• Develop memory and reasoning skills.

Money

• Identify pennies, nickels, dimes, quarters, and dollar bills.
• Read and write money amounts using a cent symbol.
• Draw coins to represent a given amount.
• Find the value of a set of coins.
• Compare the values of sets of coins.
• Select coins for a given amount.
• Pay for items and make change using coins and bills.
• Add and subtract money using a cent symbol or a decimal to represent the monetary amounts.
• Write and solve word problems using money.

Fractions

• Make models that represent given fractions.
• Recognize one half, one third, and one fourth of a given whole.
• Write a fraction to show a part of a whole.
• Compare fractions.
• Identify equivalent fractions.
• Identify numerator and denominator.
• Locate rational numbers on a number line.
• Represent and write mixed numbers.

Statistics and Probability

• Conduct a survey.
• Collect, sort, and tally data.
• Find the range, mean, median, and mode of a set of data.
• Solve problems using graphs, charts, and tables.
• Make an inference, and experiment to test the inference.
• Predict the most likely or least likely outcome in a probability experiment.
• Draw conclusions based on experimental probability.
• Make arrangements that represent the number of possibility combinations of items from a set.
• Analyze statistical information.

Graphing

• Use simple picture graphs, bar graphs, tables, and charts to solve problems and record information.
• Compare information and draw conclusions using graphs.
• Collect, organize, describe and display data using Venn diagrams.
• Use a Venn diagram to compare and contrast information.

Calculators/Computers

• Demonstrate how a calculator works.
• Use a simple calculator to add, subtract, multiply, and divide sets.