Mathematics

About this course

Second grade widens the number line to 1,000 and teaches regrouping, which is the year's central skill. Your student reads and writes three-digit numbers, works with the hundreds place, compares and orders, skip counts by 2s, 3s, 4s, 5s, and 10s, and rounds to the nearest 10 and 100. The operations unit then walks step by step from two-digit addition without regrouping all the way to three-digit subtraction with regrouping, using base-ten blocks to make the trades visible, and closes with a first taste of multiplication as repeated addition along with the x2, x5, and x10 facts. The rest of the year covers fractions (halves, thirds, fourths, numerator and denominator, comparing, equivalent fractions, fractions on a number line, and fractions of a set), money written as decimals and reading prices, measuring in inches and centimeters and to the nearest half inch, pounds and kilograms, cups through gallons, telling time to the nearest five minutes, elapsed time, calendar math, polygons and quadrilaterals, faces and edges and vertices, lines and rays, parallel and perpendicular, right and acute and obtuse angles, symmetry, perimeter and area, graphs and line plots and tables, range and a first look at average, likely and unlikely outcomes, input and output tables, variables, balancing equations, and a full unit of problem-solving strategies.

The course is 180 lessons across 15 units, one per school day. The first eight units carry all of the new material; units 9 through 15 bring the first seven strands back around a second time, going over the same ground again for review and consolidation late in the year. A lesson is planned for 35 minutes: a short prayer, a review, the new concept with worked examples and a hands-on activity, guided practice, then independent practice. Every lesson closes with a ten-question quiz that grades itself. Each lesson also carries a KJV verse tied to the day's topic.

The lessons are written partly to you and partly to your student, with frequent lines beginning "Say to your student" and questions for you to ask out loud, so plan to teach this year rather than assign it. To be ready, your student should be able to count and write numbers to 100, add and subtract facts within 20 without counting on fingers, understand tens and ones, and tell time to the hour. Multiplication is introduced from scratch here, so no prior exposure is needed. Base-ten blocks are used often enough to be worth having, though the lessons offer bundled straws, coins, or drawn tens and ones as substitutes, and grid paper is helpful for the area lessons.

What the course covers

• Place value, comparing, and rounding numbers to 1,000
• Two- and three-digit addition and subtraction with regrouping
• Multiplication as repeated addition, and the x2, x5, and x10 facts
• Halves, thirds, fourths, equivalent fractions, and fractions of a set
• Money as decimals and reading prices
• Length, weight, and capacity in customary and metric units
• Time to five minutes, elapsed time, and calendar math
• Polygons, solids, lines, angles, symmetry, perimeter, and area
• Bar graphs, pictographs, line plots, tables, range, and probability
• Input and output tables, variables, and balancing equations

What your student will be able to do

• Read, write, compare, and round three-digit numbers
• Add and subtract three-digit numbers with regrouping and check by estimating
• Multiply by 2, 5, and 10 using repeated addition and skip counting
• Name, compare, and find equivalent fractions and locate them on a number line
• Measure length, weight, and capacity, tell time to five minutes, and find elapsed time
• Find the perimeter and area of a rectangle and choose a strategy for a two-step word problem

Scope and sequence

All 15 units of Mathematics for Grade 2, in the order they are taught.

Every lesson, by title

All 180 lesson titles are listed here — nothing is withheld until you download. Open a unit to read its contents.

One whole lesson, exactly as it comes

This is a real lesson taken from the middle of the course — the teaching text, the practice, the homework, and the first three quiz questions with their answers. It is not a marketing excerpt.

What you will need

Drawn from the materials named across all 180 lessons of this course. Most families already own most of it.