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 11,000.
 Count aloud beginning with numbers other than one.
 Count by twos, threes, fours, fives, and tens from 1100 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 threedigit numerals and arrange them in ascending order.
 Review addition facts 020.
 Review subtraction facts 020.
 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 010.
 Learn division facts 010.
 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 five singledigit addends without and with regrouping.
 Add and subtract two and threedigit numbers.
 Use addition, subtraction, multiplication, and division to solve one and twostep 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.
 Read a Fahrenheit thermometer.
 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.
 Answer a riddle.
 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.
 Read directions and follow a recipe including fractions.
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.
