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How strong number reasoning prepares students for ratios and algebra Throughout January, we’ve explored rational numbers, negative numbers, distance, value, fractions, decimals, and division. On the surface, it may seem like this month was about numbers. But this work didn’t begin in January. In De…
Rates, Tables, Tape Diagrams, and the Coordinate Plane Ratios are relationships. But proportional reasoning is what happens when students learn to use those relationships to solve problems. In this episode, we move from identifying ratios to reasoning with them. You’ll explore how tape diagrams, ra…
Why ratios are about how quantities move together This episode launches our Connecting Math series by reframing ratios as relationships rather than calculations. Instead of treating ratios as fractions or procedures to memorize, we explore how ratios describe how two quantities vary together and wh…
Before students can work flexibly with ratios, they must be able to answer a more fundamental question: What exactly are we comparing, and why? In this episode, we zoom in on the core comparison structures that sit beneath ratios, proportions, geometry, and algebra: part-to-part relationships, part…
Building understanding instead of teaching tricks Many students reach middle school able to perform fraction and decimal procedures without truly understanding what those numbers represent. In this episode, we slow down and reconnect fractions, decimals, and division to meaning. We explore why frac…
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