Five pages on inequalities with whole-number solutions. On page 1 students test three values in each inequality, write the value of the left side and circle true or false. Page 2 solves each inequality, such as n + 9 ≤ 14 becoming n ≤ 5, and lists every whole number that works. Page 3 solves and graphs the solutions on a 0 to 20 number line: a dot on each whole number that works, and an arrow when the solutions keep going past the end of the line. Page 4 has six stories with words like at most, at least and fewer than: students write an inequality and answer the question. Page 5 matches four inequalities to their graphs, then writes an inequality for four graphs. The first problem on each page is done as an example.
Start with a sign on the board: "At most 12 people in the van." Ask whether 10 people can get in, then 12, then 13. Write p ≤ 12 and test values together, then graph them as dots on a number line. Talk about why n < 8 and n ≤ 7 have the same whole-number solutions, and why some graphs need an arrow.
Look for limits in everyday life: a ride you must be at least 120 cm tall to go on, a bag that holds at most 5 kg, a game that needs more than 3 players. Ask your child to say the limit as an inequality and to name a few numbers that work and a few that do not.
This pack supports the following Common Core State Standards for Mathematics:
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Inequalities with a letter, such as n + 6 < 14, and the whole numbers that make them true. Students test values, solve and list the solutions, graph them on a number line, write inequalities for stories and match inequalities to their graphs.
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